# Partnerships Quiz Set 018

### 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?

A

Rs. 365.

B

Rs. 465.

C

Rs. 265.

D

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.

### 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?

A

Rs. 1600.

B

Rs. 1700.

C

Rs. 1500.

D

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.

### 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?

A

3.

B

4.

C

2.

D

5.

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.

### 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?

A

3.

B

4.

C

2.

D

5.

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.

### 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?

A

Rs. 6120.

B

Rs. 6121.

C

Rs. 6119.

D

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.