Partnerships Quiz Set 018 | Maths Aptitude Quiz Questions and Mock Test on Partnerships Set 18 | mock tests for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

Mr. X and Mr. Y start a venture with investments in the ratio 8 : 15. After 3 months, X withdraws $1/8$^th of his capital, and Y withdraws $1/15$^th of his capital. If the profit at the end of 10 months is 1080, then what is the share of X?

Rs. 365.

Rs. 465.

Rs. 265.

Rs. 565.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 7:14. The ratio of money-months of X and Y is ${8 × 3 + 7 × 7}/{15 × 3 + 14 × 7}$, which is $73/143$. Profit of X = $73/{73 + 143}$ × 1080 = Rs. 365.

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Question 2

Three investors, A, B and C, start a business with contributions in the ratio 4:5:9. What is the share of A if the annual profit is Rs. 7200?

Rs. 1600.

Rs. 1700.

Rs. 1500.

Rs. 1800.

Soln.
Ans: a

The profits are divided in proportion to the amount invested by each party. A's share = $4/{4 + 5 + 9}$ × 7200 = Rs. 1600.

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Question 3

X starts a business with a capital of Rs. 800. Some months later Y joins him with a capital of Rs. 200. For how much period does Y join if the profits are shared in the ratio 16 : 1?

Soln.
Ans: a

Money-months of X are 800 × 12 = 9600. If money-months of X are 16 then money-months of Y are 1. So, if money-months of X are 9600, money-months of Y are $1/16 × 9600$, which gives months of Y = ${1 × 9600}/{16 × 200}$ = 3 months.

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Question 4

X starts a business with a capital of Rs. 3000. Some months later Y joins him with a capital of Rs. 500. For how much period does Y join if the profits are shared in the ratio 24 : 1?

Soln.
Ans: a

Money-months of X are 3000 × 12 = 36000. If money-months of X are 24 then money-months of Y are 1. So, if money-months of X are 36000, money-months of Y are $1/24 × 36000$, which gives months of Y = ${1 × 36000}/{24 × 500}$ = 3 months.

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Question 5

P and Q invest in a business in the ratio 5 : 13. If 5% of the profit is donated as flood relief, and P gets Rs. 1615, what is the profit?

Rs. 6120.

Rs. 6121.

Rs. 6119.

Rs. 6122.

Soln.
Ans: a

Let the profit be 100. If share of P is 95 × $5/{5 + 13}$, the profit is 100. So if share of P is 1615, the profit should be 100 × ${5 + 13}/5 × 1615/95$ = Rs. 6120.

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