# Partnerships Quiz Set 002

### Question 1

P and Q start a business with investments in the ratio 7 : 10. After 3 months, P increases his capital by \$1/7\$th, and Q increases his capital by \$1/10\$th. If the profit at the end of 10 months is 736, then what is the share of P?

A

Rs. 308.

B

Rs. 408.

C

Rs. 208.

D

Rs. 508.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 8:11. The ratio of money-months of P and Q is \${7 × 3 + 8 × 7}/{10 × 3 + 11 × 7}\$, which is \$77/107\$. Profit of P = \$77/{77 + 107}\$ × 736 = Rs. 308.

### Question 2

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 3

X and Y start a venture with investments of Rs. 200 and Rs. 600. After 4 months Z joins with Rs. 600. What is Z's share in the annual profit of Rs. 14400?

A

Rs. 4800.

B

Rs. 4900.

C

Rs. 4700.

D

Rs. 5000.

Soln.
Ans: a

Sum of the money months is 200 × 12 + 600 × 12 + 600 × 8 = 14400. Share of Z = \${600 × 8}/14400\$ × 14400 = Rs. 4800.

### Question 4

Mr. X and Mr. Y start a venture with investments in the ratio 2 : 9. After 3 months, X withdraws \$1/2\$th of his capital, and Y withdraws \$1/9\$th of his capital. If the profit at the end of 10 months is 288, then what is the share of X?

A

Rs. 39.

B

Rs. 139.

C

Rs. 61.

D

Rs. 239.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 1:8. The ratio of money-months of X and Y is \${2 × 3 + 1 × 7}/{9 × 3 + 8 × 7}\$, which is \$13/83\$. Profit of X = \$13/{13 + 83}\$ × 288 = Rs. 39.

### Question 5

X and Y invest in a business in the ratio 7 : 19. If X earns Rs. 5600, what is the profit?

A

Rs. 20800.

B

Rs. 20801.

C

Rs. 20799.

D

Rs. 20802.

Soln.
Ans: a

If X earns 7, the profit is 7 + 19. Then, if the earning is 5600, profit = \${7 + 19}/7\$ × 5600 = Rs. 20800.