Ratio and Proportion
53 solved SSC CGL Quantitative Aptitude previous year questions on Ratio and Proportion, each with the correct answer and a full explanation.
Q1
If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.
✓ Correct answer: b) 14
ExplanationCalculation Three number are in ratio Three numbers ar 3x ,2x, 5x Now, x = 7 Middle number = 2x = 27 = 14 Hence the correct Option is Option B i.e, 14
Q2
What is the fourth proportional to 72, 168 and 150?
✓ Correct answer: c) 350
ExplanationGiven, Three proportional are 72, 168 and 150 Let, fourth proportional = a We know if four are proportional, then Hence, Option C is the correct answer.
Q3
What is the third proportional to 10 and 25?
✓ Correct answer: c) 62.5
ExplanationGiven, First proportional = 10 Second proportional = 25 Therefore, third proportional = Hence, Option C is the correct answer.
Q4
D and E are points on side AB and AC of △ABC. DE is parallel to BC. If AD:DB = 1 : 4 and area of △ADE is 6 sq cm, what is the ratio of area of △ADE : area of quadrilateral BDEC?
✓ Correct answer: d) 1: 24
Explanation| | SSC Let, AD = x and DB = 4x AB = AD+DB = 5x The ratio of the area of similar triangles is equal to the square of the ratio of their corresponding sides.Ar(ABC) = 150 sq cm Area of quadrilateral BDEC = Area of ABC - Area of ADE = 150 - 6 = 144 sq cm Area of ADE/Area of quadrilateral BDEC = Hence, Option D is the correct answer.
Q5
10 women can do a piece of work in 6 days, 6 men can do the same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?
✓ Correct answer: d) 4 : 8 : 3
Explanation1 woman can do work in 1 day = 1 man can do work in 1 day = 1 child can do work in 1 day = The ratio of their efficiencies Hence, Option D is the correct answer.
Q6
D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?
✓ Correct answer: a) 4 : 45
ExplanationGiven, AD : DB = 2 : 5 Let, AD = 2a and DB = 5a then AB = AD + DB = 2a + 5a = 7a Area of ΔADE = 8 cm As, by AA rule of similarity Now, If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides Area of quadrilateral BDEC = Area of – Area of = 98 – 8 = 90 Ratio of area of Δ ADE: area of quadrilateral BDEC = 8 : 90 = 4 : 45 Hence, Option A is the correct answer.
Q7
The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 :11. The quadrilateral is a ____.
✓ Correct answer: c) parallelogram
ExplanationGiven, Ratio of angles of a quadrilateral = 7 : 11 : 7 : 11 Let, angels be = 7a, 11a, 7a, 11a We know, the sum of all angles of the quadrilateral = Angles are , , and .Hence, opposite angles are equal.So, it is a parallelogram.Hence, Option C is the correct answer.
Q8
A company, at the time of inflation, reduced the staff in the ratio 5 : 3 and average salary per employee was increased in the ratio 7 :8. By doing so, the company saved Rs. 55000. What was the initial expenditure (in Rs) of the company?
✓ Correct answer: c) 175000
ExplanationLet, the reduced staff in ratio = 5x : 3x Average salary per employee increased in ratio = 7y : 8y According to the question, 35xy –24xy = 55000 11xy= 55000 xy = 5000 Initial expenditure = 35xy = Rs.175000 Hence, Option C is the correct answer.
Q9
Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600 . What was the original price (in Rs) of the diamond?
✓ Correct answer: c) 67500
ExplanationLet, total weight of diamond = 15 gm So, original price of diamond = k15 =225k But, diamond is broken in 3 : 5 : 7 Weight of pieces = 9k , 25k , 49k According to question 225k-(9k+25k+49k)=42600 225k-83k=42600 142k=42600 k=300 Hence, Original Price = 225 300=Rs 67500 Hence, Option C is the correct answer.
Q10
When x is subtracted from each of 21,22,60 and 64 , the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x+1) and (7x+8)?
✓ Correct answer: c) 24
ExplanationWhen x is subtracted from each of 21, 22, 60 and 64, the numbers so obtained, in this order, are in proportion.As per the question, (21 - x)(64 - x) = (22 - x)(60 - x) 1344 - 21x -64x + x = 1320 - 22x - 60x + x -85x + 82x = 1320 - 1344 - 3x = - 24 x = 8 The mean proportional between (x+1) and (7x+8).Mean proportional = = = 24 Hence, Option C is the correct answer.
Q11
Two numbers are in the ratio . If 13 is subtracted from each, the new numbers are in the ratio . If 15 is added to each of the original numbers, then the ratio becomes:
✓ Correct answer: c) 24 : 35
ExplanationRatio of two numbers are = 3x : 5x According to the question (3x – 13)/(5x – 13) = 10/21 ⇒ 21 (3x – 13) = 10 (5x – 13) ⇒ 63x – 273 = 50x – 130 ⇒ 63x – 50x = 273 – 130 ⇒ 13x = 143 ⇒ x = 143/13 ⇒ x = 11 First number = 3x = 3 × 11 = 33 Second number = 5x = 5 × 11 = 55 If 15 add in each number than ratio of two number = (33 + 15) : (55 + 15) = 48 : 70 = 24 : 35 Hence, Option C is the correct answer.
Q12
The total number of students in a class is 65 . If the total number of girls in the class is 35 , then the ratio of the total number of boys to the total number of girls is:
✓ Correct answer: b) 6: 7
ExplanationGiven, Total number of students = 65 Number of girls = 35 Number of boys = 65 – 35 = 30 Required Ratio = 30 : 35 = 6 : 7 Hence, the correct option is B.
Q13
The ratio of the number of boys to the number of girls in a school of 640 students, is 5:3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14: 9.
✓ Correct answer: c) 20
ExplanationLet no. of boys = x Ratio of boys and girls = 5:3 Total no. of students = 640 No. of boys = No. of girls = According to the question: x = 420 - 400 = 20 Then, no. of boys = 20
Q14
If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6 , then 2x: y is equal to:
✓ Correct answer: a) 2: 3
Explanationx is the mean proportional between 12.8 and 64.8 12.8 : x :: x : 64.8 x = 36 0.8 y is the third proportional to 38.4 and 57.6 38.4 : 57.6 :: 57.6 : y y = 86.4
Q15
A sum of money was lent in two parts in the ratio 4 : 5 for 4 years and 5 years respectively, both at the rate of 8% per annum simple interest. If the difference between the interests earned from the two parts is ₹ 4680, then what was the total sum lent (in ₹)?
✓ Correct answer: b) 58500
ExplanationA sum of money was lent in two parts in the ratio 4:5 for 4 years and 5 years respectively, both at the rate of 8% per annum simple interest.Let, the sum of money which is lent for 4 years = 400x unit Let, the sum of money which is lent for 5 years = 500x unit If the difference between the interests earned from the two parts is Rs. 4680 According to the question, Hence, Total sum lent (in Rs. ) = Hence, Option B is the correct answer.
Q16
Ratio of the present age of a mother to that of the daughter is 7 :1. After 5 years the ratio will become 4 :1. What is the difference (in years) in their present ages?
✓ Correct answer: c) 30
ExplanationThe ratio of the present age of a mother to that of the daughter is 7 :1. Let present age of mother = 7x years present age of daughter = x years After five years, Age of mother = 7x + 5 Age of daughter = x + 5 According to the question, 3x = 15 x = 5 Hence, Difference in present ages of mother and daughter = 7x – x = 6x= Hence, Option C is the correct answer.
Q17
When x is subtracted from each of the numbers 54, 49, 22 and 21, the numbers obtained are in proportion. The ratio of (8x-25) to (7x-26) is:
✓ Correct answer: c) 29 : 24
ExplanationIf is subtracted from each of numbers 54, 49, 22 and 21 the numbers, so obtained are in proportion.According to the question, (54-x), (49-x), (22-x) and (21-x) are in proportion.Therefore, ratio of = Hence, Option C is the correct answer.
Q18
Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.
✓ Correct answer: d) 8 : 9
ExplanationFourth proportional = = 8 Third proportional = = 9 Therefore, required ratio of the fourth proportional and third proportional = 8 : 9 Hence, Option D is the correct answer.
Q19
Monthly salaries of Anil and Kumud are in the ratio 19 :17. If Anil and Kunud get salary hikes of ₹ 2000 and ₹ 1000 respectively, then the ratio in their salaries becomes 8 : 7 . What is the present salary of Kumud (in ₹)?
✓ Correct answer: d) 34000
ExplanationLet, the monthly salary of Anil and Kumud are 19x and 17x respectively According to the question, 133x + 14000 = 136x + 8000 136x - 133x = 14000 - 8000 3x = 6000 x = 2000 Therefore, the present salary of Kumud = 17x = 17 × 2000 = 34000 Hence, Option D is the correct answer.
Q20
If length of a rectangle is increased to its three times and breadth is decreased to its half, then the ratio of the area of given rectangle to the area of new rectangle is:
✓ Correct answer: b) 2 : 3
ExplanationLet, the length of a rectangle = x unit, and Breadth of a rectangle = y unit Area of a rectangle = If the length of a rectangle is increased to its three times and the breadth is decreased to its half, then The new length of a rectangle = 3x unit New breadth of a rectangle = unit Area of a rectangle = = Required ratio = Hence, Option B is the correct answer.
Q21
In a class the ratio of rural to urban students is 4 :7. In an examination the average percentage marks of the rural and the urban students are respectively 65 and 63 . What is the overall average percentage marks of the class (correct to two decimal places)?
✓ Correct answer: c) 63.73%
ExplanationGiven: Ratio of rural to urban = 4 : 7 The average percentage marks of the rural and the urban students are respectively 65 and 63 Overall average percentage marks of the class = = 63.73% Hence, Option C is the correct answer.
Q22
Two numbers are in the ratio 2 :3. If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 :12. What would the ratio become when eight is added to each number?
✓ Correct answer: b) 14 : 19
ExplanationTwo numbers are in the ratio 2 :3. Let, first number = 2x Second number = 3x If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 :12. Hence, first number = 20 Second number = 30 Now, ratio when eight is added to each number = (20+8) : (30+8) = 28 : 38 = 14 : 19 Hence, Option B is the correct answer.
Q23
What is the difference in the mean proportional between 1.8 and 3.2 and the third proportional to 5 and 3?
✓ Correct answer: d) 0.6
ExplanationMean proportional between 1.8 and 3.2 = = 2.4 Third proportional to 5 and 3 = 3 × = 1.8 Now, difference = 2.4 – 1.8 = 0.6 Hence, Option D is the correct answer.
Q24
If x is subtracted from each of 24, 40, 33 and 57, the numbers, so obtained are in proportion. The ratio of (5x+12) to (4x+15) is:
✓ Correct answer: c) 14 : 13
ExplanationIf is subtracted from each of 24, 40, 33 and 57, the numbers obtained are in proportion.(24-x), (40-x), (33-x) and (57-x) are in proportion.According to the question, Hence, ratio of ( to ( = Hence, Option C is the correct answer.
Q25
The fourth proportional to 16 and 26 and 32 is:
✓ Correct answer: b) 52
ExplanationTo find the fourth proportional to 16, 26, and 32, we can use the concept of proportionality.Let the fourth proportional be "x." We know that if four numbers are in proportion, then the product of the means is equal to the product of the extremes.In other words: 16:26::32:x This proportion can be written as: Now, we can cross-multiply to solve for x: 16x=26⋅32 16x=832 x=52 So, the fourth proportion to 16, 26, and 32 is 52, which is option B.
Q26
The sum of three numbers is 98 . If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the third number is:
✓ Correct answer: a) 48
ExplanationRatio of first and second number = = 10 : 15 Ratio of second and third number = = 15 : 24 Ratio of first, second and third number = 10 : 15 : 24 Let the first, second and third number be 10x, 15x and 24x ATQ, 10x + 15x + 24x = 98 49x = 98 x = 2 Third number = 24x = 48 Hence, the correct answer is (A).
Q27
Find the fourth proportional to the numbers 17,272 and 19.
✓ Correct answer: d) 304
ExplanationNow, we can cross-multiply to solve for x: Now, divide both sides by 17 to isolate x: Now, calculate the value of x: So, the fourth proportional to the numbers 17, 272, and 19 is equal to 304, which corresponds to option D.
Q28
The ratio of the present ages of Ram and Ramesh is 3:5. After 7 years the ratio of their ages will be 2:3. Find the present age of Ramesh.
✓ Correct answer: a) 35 years
ExplanationLet the present age of Ram and Ramesh be 3x years and 5x years respectively.Then, according to the question 3(3x + 7) = 2(5x + 7) 9x + 21= 10x + 14 x=7 The present age of Ramesh = 5x = 35 years Hence, Option A is the correct answer.
Q29
The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 :11. If both of them manage to save ₹ 4,000 per month, then find the difference in their incomes (in ₹).
✓ Correct answer: c) 4,000
ExplanationWe know that: Income = saving + expenditure Let the expenditure of A and B be 9x and 11x According to the question, 117x + 52000 = 121x + 44000 121x – 117x = 52000 – 44000 4x = 8000 x = x = 2000 Income of A = 9x + 4000 = 9 × 2000 + 4000 = 18000 + 4000 = Rs. 22000 Income of B = 11x + 4000 = 11 × 2000 + 4000 = 22000 + 4000 = Rs. 26000 Therefore, required difference between their incomes = 26000 – 22000 = Rs. 4000 Hence, the correct answer is (C).
Q30
The ratio of the profits of P and Q is 5 :8. What is their investment ratio, if their investment time period ratio is 3 : 5?
✓ Correct answer: d) 25 : 24
ExplanationLet the investment ratio of P and Q be x : y. We know that, Profit = Investment × Time period So, according to the question: = ⇒ = Hence, the correct answer is (D).
Q31
Three years ago, the ratio of the age of father to that of his son was 8:3. After 4 years, their ages will be in the ratio 11 :5. What is the present age (in years) of the father?
✓ Correct answer: b) 51
ExplanationLet three years ago the age of father and his son be 8x and 3x years respectively.After 4 years age of father = 8x + 3 + 4 = 8x + 7 After 4 years age of his son = 3x + 3 + 4 = 3x + 7 ATQ, Present age of father = 8x + 3 = 48 + 3 = 51 years Hence, the correct answer is (B).
Q32
The ratio of the present age of father to that of his son is 7 :2. If after 10 years the ratio of their ages will become 9: 4, then the present age of the father is:
✓ Correct answer: b) 35 years
ExplanationLet, father's age =7k son's age =2k According to question, ⇒28k+40=18k+90 ⇒28k-18k=900-40 ⇒10k=50 ⇒k = Hence, present age of father =7k=7×5=35 years
Q33
What is the ratio of the fourth proportional of 2, 5, 6 and the fourth proportional of 6, 8, 9 ?
✓ Correct answer: d) 5 :4
ExplanationFourth proportional to 2,5 and 6 = Fourth proportional to 6, 8 and 9 The required ratio= 15 : 12 = 5 : 4 Hence, Option D is the correct answer.
Q34
The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 6,084 is cut into 3 pieces whose weights are in the ratio . Find the loss involved in the cutting.
✓ Correct answer: b) Rs. 3,718
ExplanationCost is directly proportional to the weight of diamond Let the weight of the three pieces of the diamond be 3x, 2x and x. Then the wight of the diamond = 3x + 2x + x = 6x Ratio of the cost of the diamond to the cost of three pieces of the diamond Loss = 36 - 14 = 22 Required loss Hence, the correct answer is (B).
Q35
If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).
✓ Correct answer: a) 140
Explanationp is the third proportional to 8,20. 8 : 20 :: 20 : p q is the fourth proportional of 3, 5, 24 3 : 5 :: 24 : q 3q = 120 q = 40 Now, 2p + q = 2(50) + 40 = 100 + 40 = 140 Hence, Option A is the correct answer.
Q36
The number of books on Mathematics, Physics, and Chemistry in a University library is in the ratio 8 : 5 :9. There is a proposal to increase these books by 10%, 5%, and 5% respectively. What will be the ratio of the number of books after the increment?
✓ Correct answer: c) 176 : 105 : 189
ExplanationThe ratio of books of given subjects = 8 : 5 : 9 (given ) According to the given condition ; Hence, Option C is the correct answer.
Q37
In a school, of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and of the number of girls are also below 10 years. If the number of students of age 10 or more years is 260, then the number of boys in the school is:
✓ Correct answer: c) 300
ExplanationLet the total number of students in school be 24x.Then, number of girls = (24x) × = 9x And number of boys = 24x – 9x = 15x Number of boys of age 10 or more years = (15x) × = 10x Number of girls of age 10 or more years = (9x) × = 3x Now, number of students of age 10 or more years = 260 Þ 10x + 3x = 260 Þ x = = 20 Thus, Number of boys in the school = 15 × 20 = 300 Hence, the correct answer is option C.
Q38
If the volume of a sphere is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.
✓ Correct answer: c) 3 : 4
ExplanationVolume of Sphere = ( )πr3 Volume of cylinder = πr2h ATQ, ( )πr3 = πr2h ⇒ r : h = 3 : 4 Hence, the correct answer is (C).
Q39
If the angles of a triangle are in the ratio of 1 : 2 : 3, what is the type of such triangle?
✓ Correct answer: c) Right-angle triangle
ExplanationGiven ratio of angles in triangle = 1: 2 : 3 Let, P + 2P + 3P = 180 Hence, the correct answer is (C).
Q40
Mother told her daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be". Find the present ages of the mother and the daughter, respectively.
✓ Correct answer: c) 42 ; 12
ExplanationLet, the present age of the mother is and the present age of her daughter is .Seven years ago the age of the mother was ( 7) and the age of her daughter was ( 7) .According to the question, Three years from now the age of the mother will be and the age of her daughter will be .According to the question, | | SSC The present ages of the mother and the daughter are 42 and 12 .Hence, the correct answer is (C).
Q41
The present age of Rahim is five times the present age of his daughter, Savita. Seven years from now, Rahim will be three times as old as Savita. What is the present age (in years) of Rahim?
✓ Correct answer: b) 35
ExplanationLet the present age of Rahim be R years and the present age of Savita be S years.We are given that the present age of Rahim is five times the present age of his daughter, Savita.R = 5S We are also given that seven years from now, Rahim will be three times as old as Savita.R + 7 = 3(S + 7) Substituting R = 5S in the second equation, we get: 5S + 7 = 3(S + 7) Simplifying the equation, we get: 2S = 14 Solving for S, we get: S = 7 Substituting S = 7 in R = 5S, we get: R = 5 7 = 35 Therefore, the present age of Rahim is 35 years.Hence, the correct answer is (B).
Q42
Sohan’s initial expenditure and savings were in the ratio of 5 :3. His income increases by 25%. If his initial savings were ₹4,500, find his income (in ₹) after the increment.
✓ Correct answer: b) 15000
ExplanationLet his expenditure = 5x and his saving = 3x.ATQ, 3x = 4,500 x = 1,500 Expenditure of Sohan = 5x = 7,500 Income = 4500 + 7500 = 12,000 After increasement his income = 125% of 12,000 = 15,000 Hence, the correct option is B.
Q43
Avinash's monthly salary is ₹50,000 and his monthly expenditure is ₹18,000. Radha's monthly salary is ₹60,000 and her monthly expenditure is ₹24,000. Find the ratio of Radha's savings to Avinash's saving's.
✓ Correct answer: a) 9 : 8
ExplanationAvinash's monthly salary is ₹50,000 and his monthly expenditure is ₹18,000. Radha's monthly salary is ₹60,000 and her monthly expenditure is ₹24,000. Savings = Income - Expenditure Savings of Avinash = 50,000 - 18,000 = ₹ 32,000 Savings of Radha = 60,000 - 24,000 = ₹ 36,000 Ratio of Radha's savings to Avinash's saving's = 36,000 : 32,000= 9 : 8 Hence, the correct option is A.
Q44
The ratio of marks obtained by Rajesh, Rakesh and Ramesh in an exam is 2 : 4 :9. What are the marks obtained by Rakesh and Ramesh, if Rajesh scored 30 marks in the exam?
✓ Correct answer: b) Rakesh = 60, Ramesh = 135
ExplanationGiven, The ratio of marks obtained by Rajesh, Rakesh and Ramesh in an exam is 2 : 4 :9. The marks obtained by Rakesh= The marks obtained by Ramesh= Hence, Option B is the correct answer.
Q45
At a certain time in a park, the number of heads and the number of legs of monkeys and human visitors were counted, and it was found that there were 54 heads and 148 legs. Find the number of monkeys in the park.
✓ Correct answer: a) 20
ExplanationLet the number of humans be H and the number of monkeys be M. Total heads = H + M = 54 Total = 2H + 4M = 148 From the total heads equation: M= 54-H.(1) Substitute M in the total legs equation: The number of monkeys= 54 - 34= 20 Hence, Option A is the correct answer.
Q46
The ratio of the number of boys in a school to the total number of boys and girls in that school is (7: 17). If the number of boys in that school is 1099 , then how many girls are there in that school?
✓ Correct answer: a) 1570
ExplanationRatio of number of boys to the total number of boys and girls = 7:17 Ratio of number of boys to number of girls = 7:10 Let the number of boys = 7x Number of girls = 10x Number of boys in the school = 1099 7x = 1099 x = 157 Therefore, Number of girls = 10x = 10 157 = 1570 Hence, Option A is the correct answer.
Q47
The sides of two similar triangles are in the ratio 5:7. The areas of these triangles are in the ratio:
✓ Correct answer: c) 25: 49
ExplanationThe ratio of the sides of two similar triangles is 5:7. We know that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.Area of first triangle : Area of second triangle= = 25 : 49 Hence, the correct answer is (C)
Q48
Rini has mixed two colours ' ' and ' ' in the ratio . If the rate of the colour ' ' is per unit and she is selling the mixture of the two colours at per unit at breakeven price, then what is the rate (in ₹) per unit of the second colour, that is, ' '?
✓ Correct answer: a) 750
ExplanationGiven that, Rini has mixed two colours ' ' and ' ' in the ratio .If the rate of the colour ' ' is per unit and she is selling the mixture of the two colours at per unit at breakeven price.Let the price of C2 be ₹x.3x = 3250 - 1000 3x = 2250 x = ₹ 750 Hence, the correct answer is (A).
Q49
Two numbers are, respectively, and more than the third number. The ratio of the two numbers is:
✓ Correct answer: a) 22: 25
ExplanationLet, the third number be 100x.Then the first number is = ∴ The another number is = ∴ The required ratio = 110x : 125x = 22 : 25 Hence, Option A is the correct answer.
Q50
A 40-litre mixture contains 25% alcohol and 75% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is:
✓ Correct answer: c) 20%
ExplanationThe ratio of alcohol and water in the 40L mixture = 25:75 = 1:3 Quantity of alcohol in the mixture = 40 = 10L Quantity of water in the mixture = 40 = 30L 10L of water was added in the mixture, The new quantity of water added to the mixture = 30+10 = 40L Quantity of new mixture = 10+40 = 50L Percentage of alcohol in the new mixture = = 20% Hence, The correct answer is (C).
Q51
The ratio of the incomes of two employees is 7 : 4, and the ratio of their expenditures is 3 :1. If each of them manages to save ₹4,800 per month, find the sum of their monthly incomes (in ₹).
✓ Correct answer: a) 21120
ExplanationLet, the income of two employees be 7x and 4x respectively.According to the question, ∴ The sum of monthly income= ₹ 21,120 Hence, Option A is the correct answer.
Q52
Three numbers are in the ratio . The difference between the smallest and the greatest numbers is 12 . Find the number which is NEITHER the smallest NOR the greatest.
✓ Correct answer: c) 100
ExplanationGiven- Ratio of numbers = Now, 27 - 24 unit = 12 3 unit = 12 1 unit = 4 Hence, Required number is = 4x25 = 100 Hence, Option C is correct
Q53
The ages of Gyanendra and Arbind are in the ratio . If the sum of their ages is 55 years, then what will be the ratio of their ages after seven years from now?
✓ Correct answer: b) 37: 32
ExplanationLet, the age of Gyanendra and Arvind are and then, According to question, Then, the ratio of their ages after 7 years from now = (30 + 7) : (25 + 7) = 37 : 32 Hence, the correct answer is (B).
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