Partnership
5 solved SSC CGL Quantitative Aptitude previous year questions on Partnership, each with the correct answer and a full explanation.
Q1
A man has 3 sons, 2 daughters and a wife. They divided a sum of Rs 19000 among themselves such that each daughter got 1.5 times the amount received by each son and his wife received 600 less than each son. What is the total amount (in Rs) received by the 3 sons together?
✓ Correct answer: d) 8400
ExplanationLet, the amount received by each son =Rs. x Amount received by each daughter = Rs. 1.5x The amount received by wife = Rs. (x-600) Total amount = 19000 3x+2 + = 19000 x = Rs 2800 Amount received by 3 sons = 3 2800 = Rs. 8400 Hence, Option D is the correct answer.
Q2
Keshav, Surjeet and Thomas started a business with investments in the ratio 2 : 3 :4. The ratio of their period of investments is 5 : 6 :9. Twenty percent of the profit was spent on rent and maintenance of the office. Remaining profit was distributed among themselves. If the difference in the shares of profit of Keshav and Surjeet is ₹ 7264, then how much is the total profit (in ₹)?
✓ Correct answer: d) 72640
ExplanationLet, the ratio of their period of investments be 5a, 6a and 9a.Profit of Keshav = (5a × 2) = 10a Profit of Surjeet = (6a × 3) = 18a Profit of Thomas = (9a × 4) = 36a According to the question, 18a - 10a = 7264 ⇒ a = 908 So, Profit of Keshav, Surjeet and Thomas = 64a = 64 × 908 = 58112 According to the question, Therefore,the required total profit is Rs. 72640 Hence, Option D is the correct answer.
Q3
Nihit starts a business with Rs.700. After 5 months Amit and Patel joined him with Rs. 300 and Rs.400 respectively. At the end of the year, the business gave a profit of Rs.627. Find the share of Patel in the profit.
✓ Correct answer: c) Rs 132
ExplanationThe ratio of the investments of Nihit, Amit and Patel is = Then, the share of Patel in the profit is Hence, Option C is the correct answer.
Q4
A started a business with a capital of ₹54,000 and admitted B and after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio :5. What is the sum (in ₹) of the capitals invested by and ?
✓ Correct answer: a) 8,64,000
ExplanationLet, B invested a and C invested b So, the ratio of capitals of A, B and C = 54000 : a : b Also, the Ratio of time invested = 12 : (12 - 4) : (12 - 6) = 6 : 4 : 3 Therefore profit sharing ratio = Given ratio = 1 : 4 : 5 On comparing, Similarly, ∴ The sum of B and C's invested capital= 324000 + 540000 = ₹ 8,64,000 Hence, Option A is the correct answer.
Q5
Suresh, Dinesh and Ramesh became partners in a business by investing money in the ratio of 3: 6:8. If their investments is increased by 5%, 15% and 20%, respectively, then what will be the ratio of their profits for one year?
✓ Correct answer: c) 21: 46: 64
ExplanationLet, the initial investment of Suresh, Dinesh and Ramesh be 300x, 600x, 800x.Now, Suresh's new investment= Dinesh's new investment= Ramesh's new investment= Ratio of profit of Suresh, Dinesh and Ramesh= 315x : 690x : 960x = 21 : 46 : 64 Hence, Option C is the correct answer.
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