# Partnerships Quiz Set 015

### Question 1

It was agreed that A would invest Rs. 8000 for 3 months and B would invest Rs. 12000 for 9 months. What will be the share of A in an annual profit of Rs. 8800?

A

Rs. 1600.

B

Rs. 1700.

C

Rs. 1500.

D

Rs. 1800.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 8000 × 3 = 24000, whereas those by B are 12000 × 9 = 108000. The ratio of these money-months is 2:9. This is the ratio in which the profits would be divided. A's share = 8800 × \$2/{2 + 9}\$ = Rs. 1600.

### Question 2

A, B and C start a partnership business by investing equal amounts of money. What would be the share of B if the annual profit is Rs. 4800, and the time for which they invested was in the ratio 1:3:8?

A

Rs. 1200.

B

Rs. 1300.

C

Rs. 1100.

D

Rs. 1400.

Soln.
Ans: a

The amounts are same but times are different. So the share should be in the ratio of times. Share of B = \$3/{1 + 3 + 8}\$ × 4800 = Rs. 1200.

### Question 3

Three investors, A, B and C, start a business with contributions in the ratio 3:5:7. What is the share of A if the annual profit is Rs. 9000?

A

Rs. 1800.

B

Rs. 1900.

C

Rs. 1700.

D

Rs. 2000.

Soln.
Ans: a

The profits are divided in proportion to the amount invested by each party. A's share = \$3/{3 + 5 + 7}\$ × 9000 = Rs. 1800.

### Question 4

A and B invest in a business in the ratio 3 : 19. It was decided that any loss would be shared in the inverse ratio of the investments. If the total loss is Rs. 17600, what is the burden on A?

A

Rs. 15200.

B

Rs. 15300.

C

Rs. 15100.

D

Rs. 15400.

Soln.
Ans: a

The loss is divided in the inverse ratio as their shares. So A's loss = \$19/{3 + 19}\$ × 17600 = Rs. 15200.

### Question 5

During the first 4 months the investments of A and B were in the ratio 1:3. For the remaining months the investments were in the ratio 3:1. What will be the share of A in an annual profit of Rs. 2400?

A

Rs. 1400.

B

Rs. 1500.

C

Rs. 1300.

D

Rs. 1600.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 4 × 1 + 8 × 3 = 28, whereas those by B are 4 × 3 + 8 × 1 = 20. The ratio of these money-months is 7:5. This is the ratio in which the profits would be divided. A's share = 2400 × \$7/{7 + 5}\$ = Rs. 1400. 