69 SSC CGL Quantitative Aptitude previous year questions on Percentage — options free on every question; 7 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
PYQ
A student has to secure 35% marks to pass in a subject. If he gets 82 and fails by 23 marks. What is the maximum marks of the subject?
a300
b250
c350
d400
✓ Correct answer: a) 300
ExplanationLet maximum marks = 100a According to question Passing marks = Maximum Marks = Hence, Option A is the correct answer.
Q2 FREE PREVIEW
PYQ
Raman spends 80% of his income. If his income is increased by 25% and the expenditure increase by 10%, then what will be the percentage increase in his savings?
a17
b70
c77
d85
✓ Correct answer: d) 85
ExplanationLet, Income of Ram = Rs 100a According to the question, Expenditure = 80a Savings = 100a – 80a = 20a If income increased by 25% Then, New income = And expenditure is increased by 10% New expenditure = New savings = 125a – 88a = 37a Difference in savings = 37a – 20a = 17a Required Percentage = Hence, Option D is the correct answer.
Q3 FREE PREVIEW
PYQ
The present population of a town is 26010. It increases annually at the rate of 2%. What was the population of town 2 years ago?
a25000
b25100
c25200
d25500
✓ Correct answer: a) 25000
ExplanationLet, the population of the town 2 years ago is x. According to the question, Hence, Option A is the correct answer.
Q4 FREE PREVIEW
PYQ
If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same?
a36
b56
c64
d46
✓ Correct answer: a) 36
ExplanationLet, Initial radius = a, initial height = h, and final height = H According to the question, the radius increased by 25 % Final radius = a+a =1.25a Volume is same So, Initial Volume = Final Volume h= H=(0.64)h Difference in height = h – 0.64h = 0.36h Required decrease Percentage of height = [0.36h/h] 100=36 % Hence, Option A is the correct answer.
Q5 FREE PREVIEW
PYQ
In an examination 65% students pass in history and 55% students pass in hindi. If 5% students failed in both the subjects, then what is the percentage of students who have passed in both the subjects?
a25
b30
c15
d20
✓ Correct answer: a) 25
ExplanationLet, Total students = 100 According to question Students passed in history only = =65 Students failed in history = 100 – 65 = 35 Students passed in hindi = =55 Students failed in hindi = 100 – 55 = 45 Students failed in both subjects = = 5 Students failed in at least one subject = 35 + 45 – 5 = 75 Students passed in both the subjects = 100 – 75 = 25 Hence, Option A is the correct answer.
Q6 FREE PREVIEW
PYQ
A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted?
a48.5
b37.5
c57.8
d64
✓ Correct answer: c) 57.8
ExplanationVolume of cone = × × = × × = 512 Volume of cylinder = × = × = 216 ∴ % of material wasted = × 100 = × 100 = 57.81 % Hence, Option C is the correct answer.
Q7 FREE PREVIEW
PYQ
A man wills 25% of his wealth to charity and rest to his family. What percent of the wealth willed to charity does the family get?
a200
b33.3
c300
d25
✓ Correct answer: c) 300
ExplanationLet, total wealth = 100a According to the question, Wealth to charity = Wealth to family = Required percentage = Hence, Option C is the correct answer.
Q8
PYQ
Sudha saves 15 % of her income. If her expenditure increases by 20 % and savings increase by 60 %, then by what percent has her income increased?
a26
b35
c24
d30
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Q9
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The price of sugar is increased by 17 %. A person wants to increase his expenditure by 8 % only. By what percent should he decrease his consumption, nearest to one decimal place?
a7.9 %
b8.3 %
c8.1 %
d7.7 %
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Q10
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The price of sugar is increased by 17%. A person wants to increase his expenditure by 5% only. By approximately what percent should he decrease his consumption?
a10.3
b10.7
c10.9
d9.9
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Q11
PYQ
The price of sugar is increased by 22 %. A person wants to increase his expenditure by 12 % only. By what percent should he decrease his consumption, nearest to one decimal place?
a10 %
b7.8 %
c8.2 %
d8.6 %
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Q12
PYQ
The price of sugar is increased by 24 %. A person wants to increase his expenditure by 15 % only. By what percentage, correct to one decimal place, should he reduce his consumption?
a7.3
b7.1
c6.9
d7.5
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Q13
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The price of sugar is increased by 17 %. A person wants to increase his expenditure by 7 % only. By what percentage (correct to one decimal place) should he reduce his consumption?
a8.1 %
b8.3 %
c8.5 %
d8.7 %
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Q14
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While selling an article of marked price ₹ 5,040 at a discount of 40%, if a trader gains 20%, then the profit in ₹ is:
a₹ 642
b₹ 504
c₹ 720
d₹ 2,520
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Q15
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Two bottles of the same capacity are 35 % and 33 % full of orange juice, respectively. They are filled up completely with apple juice and then the contents of both bottles are emptied into another vessel. The percentage of apple juice in the mixture is:
a60
b64
c65
d34
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Q16
PYQ
Lucky spends 85% of her income. If her expenditure increases by x%, savings increase by 60% and income increases by 26%, then what is the value of x?
a34
b20
c26
d30
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Q17
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The total number of students in a school is 1400, out of which 35% of the students are girls and the rest are boys. If 80% of the boys and 90% of the girls passed in an annual examination, then the percentage of the students who failed is:
a16.5
b15.8
c17.4
d21.5
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Q18
PYQ
The present population of a village is 15280. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 18428. The difference between present population of males and females in the village is:
a1840
b1380
c920
d2760
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Q19
PYQ
Avinash has 20% less coins of different countries than Gaurav has. Gaurav has 40% more such coins than Chetan has. By what percent the number of coins which Chetan has is less than the number of coins which Avinash has? (correct to one decimal place)
a12
b10.5
c10.7
d10.6
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Q20
PYQ
Price of a one gram gold coin decreased by 10% on its initial price on Monday and increased by 20% on Tuesday and again increased by 8% on Wednesday, and 5% increase on Thursday. If the final price on Thursday is ₹5511.24, then the initial price (in ₹) of one gram gold coin on Monday was?
a4000
b4500
c5000
d4250
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Q21
PYQ
Radha saves x% of her income. If her income increases by 28% and the expenditure increases by 20%, then her savings increase by 40%. What is the value of x?
a35
b50
c25
d40
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Q22
PYQ
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29% , then her savings increase by:
a70%
b52%
c65%
d56%
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Q23
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Chamanlal, Arshad and Jagit Singh contested an election. All the votes polled were valid. Arshad got of the total votes. For every votes Chamanlal got 14 votes. The winner got 4950 more votes than the person who received the least number of votes. Find the total number of votes polled.
a13378
b38000
c99000
d33000
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Q24
PYQ
In an examination, 45% of all the students who appeared are boys and the rest are girls. If 60% of the boys and 70% of the girls passed, then what is the percentage of students who failed?
a36
b34.5
c40
d35.4
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Q25
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A sports-goods shop has tennis balls of 3 colors - red, green and white. The number of white balls is 60% more than the number of red balls and the number of green balls is 12.5% less than the number of white balls. If the total number of balls is 120, then how many green balls are there?
a30
b40
c48
d42
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Q26
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The train ticket fare from places A to B in 2nd class AC and 3rd class AC is Rs. 2,500 and Rs.2,000, respectively. If the fares of 2nd class AC and 3rd class AC are increased by 20% and 10%, respectively, then find the ratio of the new fares of 2nd class AC and 3rd class AC.
a15 : 13
b15 : 11
c13 : 11
d12 : 11
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Q27
PYQ
The price of petrol shot up by 5 %. Before the hike, the price was ₹ 82 per litre. A man travels 3045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest ₹) on the man's travel due to the hike in the petrol prices?
a832
b859
c758
d944
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Q28
PYQ
In an election between two candidates, 12% of voters did not cast their votes. The winner by obtaining 68% of the total votes defeated his contestant by 2880 votes. What was the total number of voters who cast their votes in the election?
a5280
b8000
c4000
d6000
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Q29
PYQ
Ankita's weight is 20 % less than that of her grandmother. The grandmother weighs 26 kg less than grandmother's husband, whose weight is 81 kg.If Ankita's brother is 8 kg heavier than Ankita, then what is the weight (in kg) of Anikita's brother?
a60
b19
c36
d52
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Q30
PYQ
A number is decreased by to get another number. The number so obtained is increased by to get a third number. The difference of the third number and the original number is what percentage more or less than the difference of second and the third number?
aMore, 15.7 Percent
bLess, 15.7 Percent
cMore, 12.5 Percent
dLess, 12.5 Percent
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Q31
PYQ
Anuja owns 66 % of a property. If 30% of the property that she owns is worth ` 1,25,000 then 45% of the value (in Rs.) of the property is:
a2,70,000
b2,81,250
c2,25,000
d2,62,500
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Q32
PYQ
The reduction of 15 % in the price of salt enables a person to buy 2 kg more for ₹ 272. The reduced price of salt per kg (in ₹) is:
a20.40
b22.16
c24.25
d25.00
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Q33
PYQ
Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20 % of the boys and 15 % of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam. A total of 90 students failed. Find the number of students that appeared for the exam.
a420
b400
c500
d350
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Q34
PYQ
When the price of an item was reduced by 20%, its sale increased by x%. If there is an increase of 25% in receipt of the revenue, then the value of x is:
a55.35
b57.75
c54.35
d56.25
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Q35
PYQ
The selling price of 28 items is equal to the cost price of 17 items. What is the percentage of profit or loss?
a39 % loss
b39 % profit
c33 % profit
d33 % loss
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Q36
PYQ
The base of a triangle is increased by 40%. By what percentage (correct to two decimal places) should its height be increased so that the area increases by 60% ?
a14.29%
b20.01%
c15.54%
d18.62%
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Q37
PYQ
A reduction of 20 % in the price of bananas enables a customer to buy 6 more bananas for ₹ 80 . What is the reduced price of bananas per dozen (in ₹)?
a32
b35
c36
d40
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Q38
PYQ
Three candidates and participated in an election. got more votes than , and got more votes than . P overtook by 2,412 votes. If voters voted and no invalid or illegal votes were cast, then what was the number of voters in the voting list?
a46,900
b42,800
c42,210
d48,500
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Q39
PYQ
A reduction of 15 % in the price of wheat enables a housewife to buy 6 kg more for ₹ 2,720. The reduced price of wheat per kg (in ₹) is:
a75
b68
c70
d65
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Q40
PYQ
A spends 65 % of his income. His income has increased by 20.1 % and the expenditure has increased by 20 %. By what percent (correct to one decimal place) does his saving increase or decrease?
aIncrease by 20.3 %
bDecrease by 17.7 %
cIncrease by 21.5 %
dDecrease by 18.9 %
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Q41
PYQ
If the price of petrol is increased by 28%, by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged? (Correct to 2 decimal places)
a12.35%
b21.88%
c20.25%
d25.75%
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Q42
PYQ
The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8 % and 10 %. What is the percentage increase or decrease in its area?
aDecrease by 1.8 %
bIncrease by 1.8 %
cIncrease by 2.8 %
dDecrease by 2.8 %
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Q43
PYQ
In a manufacturing unit, it was noted that the price of raw material has increased by 25% and the labour cost has gone up from 30 % of the cost of raw material to 38 % of the cost of the raw material. What percentage of the consumption of raw material be reduced to keep the cost the same as that before the increase?
a20.7 %
b30.2 %
c24.6 %
d25.5 %
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Q44
PYQ
In the election, 8% of the voters did not cast their votes. Two candidates contested the election, in which the winning candidate got 48% of the total votes and won the election by 1100 votes. Find the total number of voters in the election, given that all the votes cast were valid?
a25500
b26500
c27500
d28500
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Q45
PYQ
In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 :3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?
a80%
b78%
c87.5%
d85%
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Q46
PYQ
The price of an item is reduced by 20%. As a result, customers can get 2 kg more of it for Rs.360. Find the original price (in Rs.) per kg of the item.
a40
b45
c48
d36
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Q47
PYQ
Raju, Ravi and Ashok contested an election. 5% votes polled were invalid. Raju got 30% of the total votes. Ravi got 32% of the total votes. The winner got 5136 more votes than the person who received the least number of votes. Find the total number of votes polled.
a171200
b64200
c171220
d172100
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Q48
PYQ
A person's salary was decreased by 50% and subsequently increased by 50%. By what much percent does his salary increase or decrease?
aIncrease 15%
bDecrease 18%
cIncrease 20%
dDecrease 25%
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Q49
PYQ
In the first year the population of a town decreased by 5 % due to the Corona virus first wave. In the next year it decreased again by 5 % due to the second wave and in the third year it increased by 5 %. At the end of the third year the population was 9,47,625. What was the population at the beginning of the first year?
a7,00,000
b10,00,000
c8,97,993
d9,92,519
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Q50
PYQ
In an election between two candidates, the defeated candidate secured 42% of the valid votes polled and lost the election by 7,68,400 votes. If 82,560 votes were declared invalid and 20% people did NOT cast their vote, then the invalid votes were what percentage of the votes which people did NOT cast?
a10.6 %
b9.8 %
c12.9 %
d6.8 %
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Q51
PYQ
In an election between two candidates, a candidate who gets of the total votes polled is elected by a majority of 1480 votes. What is the total number of votes polled?
a2800
b1800
c2846
d1846
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Q52
PYQ
In an election between three candidates, Arjun, Bhaskar and Saral contested for a post. Arjun got 50% votes more than Saral, and Saral got 2% votes less than Bhaskar. The difference between the votes of Bhaskar and Saral is 1296. What is the half of the difference between the votes of Arjun and Bhaskar?
a3888
b13988
c7766
d15228
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Q53
PYQ
A basket contains 350 eggs. If 12% of the eggs are rotten, how many eggs are good enough to be sold?
a408
b310
c308
d410
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Q54
PYQ
Mrs. Deepa Devi saves 30% of her salary. If she receives Rs.42,000 per month as her salary, what is her monthly expenditure?
aRs.29,200
bRs.29,400
cRs.29,300
dRs.29,100
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Q55
PYQ
In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll?
a216000
b225000
c180000
d200000
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Q56
PYQ
In a constituency, 85% of the total number of people on the electoral roll cast their votes during an election. 10% of the votes cast were declared invalid. If there were 3,00,000 people on the electoral roll, and Dharam secured 1,37,700 valid votes, what percentage of the total number of valid votes did Dharam secure?
a50.5%
b70.2%
c45.9%
d60.0%
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Q57
PYQ
In the first month, the income of Mohan increases by 30%. In the second month his income decreases by 30%. What will be percentage increase or decrease in the income after two months?
a15% increase
b9% increase
c15% decrease
d9% decrease
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Q58
PYQ
Rima spends 35% of her monthly income on food articles and 15% of the remaining on clothes. She saves 40% of the remaining income. If her monthly salary is ₹27,500, how much does she save (in ₹) every month?
a6077.5
b6170.5
c6277.5
d6370.5
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Q59
PYQ
Two candidates contested an election.One of them got 64% of the votes and won by 434 votes.What was the total number of votes polled?
a1550
b1345
c1680
d1684
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Q60
PYQ
Tarun owned a plot of land having an area that was 10% more than the area of the plot owned by Basab, while the area of the plot of land owned by Nakul was 40% more than the area of the plot owned by Tarun. If the area of the plot owned by Nakul was 2695 square feet, what was the area (in square feet) of the plot owned by Basab?
a1750
b1740
c1780
d1800
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Q61
PYQ
In an election between two candidates, of the voters in the voter list did not cast their vote, whereas of the votes cast were found to be invalid. The winning candidate got of the valid votes and won the election by a margin of 1,458 votes. What is the total number of voters enrolled in the voter list?
a15,000
b13,000
c16,000
d14,000
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Q62
PYQ
In January 2022, Kriti paid an EMI, which was 22 % of her monthly salary. She spent the remaining salary on shopping of groceries and clothes in the ratio 7:5. She spent Rs 18200 on shopping of clothes. If, in February 2022, her salary increased by 16 %, then what was her salary (in Rs) in February?
a66350
b68520
c70250
d64960
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Q63
PYQ
The monthly income of a person was Rs. 80000 and his monthly expenditure was Rs. 45000. Next year, his income increased by 16% and his expenditure increased by 8%. Find the percentage increase in his savings.
a30.25%
b25.35%
c44.36%
d26.29%
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Q64
PYQ
A father gives of his monthly income to both his sons as pocket money. The elder son gets of the total amount given to both the sons. He spend of the amount and saves ₹ 17 . What is the monthly income of father?
a₹ 5,000
b₹ 4,500
c₹3,500
d₹2, 500
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Q65
PYQ
Ravi initially used to save 20% of his monthly income. Recently his monthly income was raised by 25%. His nominal savings also went up by 5%. What percentage of his present nominal income does Ravi currently save?
a25 %
b16.8 %
c15 %
d20 %
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Q66
PYQ
While solving a division problem, Suhas by mistake took a number as dividend which was 10% less than the original dividend and he also took as divisor a number which was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then assuming that there was no error in his calculation, what was the quotient obtained by Suhas?
a27
b21.6
c26.4
d30
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Q67
PYQ
A family income is ₹ 35,000 in a month. The family spends the income on various expenditures, viz., food, health, education, entertainment, and rent. After incurring all the expenditures, 8 % is saved every month. The expenditure on health is 50 % more than that of food. While food is three times of the expenditure on entertainment, the expenditure on health is half of the expenditure on education. The expenditure on rent is one-third of the combined expenditure on food, health and education. How much expenditure in ₹ is incurred on education?
a12600
b8400
c13200
d7700
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Q68
PYQ
Hari, Kamal and Lalit contested an election in which 6050 votes were polled and none of the votes were invalid. Kamal got 42% more votes than the total votes obtained by Hari and Lalit together. If Lalit obtained only 8% of the total polled votes, find the number of votes obtained by Hari.
a2016
b1668
c1912
d1556
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Q69
PYQ
Sonu saves 15 % of her income. If her income increases by 20 % and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place)
a22.8
b23.5
c23.8
d24.2
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