# Partnerships Quiz Set 007

### Question 1

P, Q and R start a venture with investments of Rs. 200, Rs. 500 and Rs. 900. After 9 months R leaves the business. What is R's share in the annual profit of Rs. 16500?

A

Rs. 8100.

B

Rs. 8200.

C

Rs. 8000.

D

Rs. 8300.

Soln.
Ans: a

Sum of the money months is 200 × 12 + 500 × 12 + 900 × 9 = 16500. Share of R = \${900 × 9}/16500\$ × 16500 = Rs. 8100.

### Question 2

A starts a venture with Rs. 42. After 10 months B also joins him. At the end of the year, the profits were shared in the ratio 7 : 17. What was the investment of B?

A

Rs. 612.

B

Rs. 712.

C

Rs. 512.

D

Rs. 812.

Soln.
Ans: a

Money-months contributed contributed by A = 42 × 12 = 504. So money months of B should be \$17/7 × 504\$, therefore, money of B = \$17/7 × 504/2\$ = Rs. 612.

### Question 3

P and Q start a business with investments in the ratio 4 : 5. After 3 months, P increases his capital by \$1/4\$th, and Q increases his capital by \$1/5\$th. If the profit at the end of 10 months is 208, then what is the share of P?

A

Rs. 94.

B

Rs. 194.

C

Rs. 6.

D

Rs. 294.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 5:6. The ratio of money-months of P and Q is \${4 × 3 + 5 × 7}/{5 × 3 + 6 × 7}\$, which is \$47/57\$. Profit of P = \$47/{47 + 57}\$ × 208 = Rs. 94.

### Question 4

A starts a venture with Rs. 144. After 8 months B also joins him. At the end of the year, the profits were shared in the ratio 9 : 14. What was the investment of B?

A

Rs. 672.

B

Rs. 772.

C

Rs. 572.

D

Rs. 872.

Soln.
Ans: a

Money-months contributed contributed by A = 144 × 12 = 1728. So money months of B should be \$14/9 × 1728\$, therefore, money of B = \$14/9 × 1728/4\$ = Rs. 672.

### Question 5

During the first 2 months the investments of A and B were in the ratio 7:13. For the remaining months the investments were in the ratio 13:7. What will be the share of A in an annual profit of Rs. 4000?

A

Rs. 2400.

B

Rs. 2500.

C

Rs. 2300.

D

Rs. 2600.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 2 × 7 + 10 × 13 = 144, whereas those by B are 2 × 13 + 10 × 7 = 96. The ratio of these money-months is 3:2. This is the ratio in which the profits would be divided. A's share = 4000 × \$3/{3 + 2}\$ = Rs. 2400. 