# Partnerships Quiz Set 014

### Question 1

Three investors, A, B and C, start a business with contributions in the ratio 1:3:5. What is the share of A if the annual profit is Rs. 7200?

A

Rs. 800.

B

Rs. 900.

C

Rs. 700.

D

Rs. 1000.

Soln.
Ans: a

The profits are divided in proportion to the amount invested by each party. A's share = \$1/{1 + 3 + 5}\$ × 7200 = Rs. 800.

### Question 2

A, B and C start a partnership business. A invests Rs. 300 and C invests Rs. 200. What should B have invested if it wanted to earn a share of Rs. 450 in the annual profit of Rs. 900?

A

Rs. 250.

B

Rs. 350.

C

Rs. 150.

D

Rs. 450.

Soln.
Ans: a

By inspection, the desired share is 1/2 of the annual profit. So B should have contributed half of the capital, which is \${300 + 200}/2\$ = Rs. 250.

### Question 3

P and Q invest in a business in the ratio 7 : 15. If 5% of the profit is donated as flood relief, and P gets Rs. 1862, what is the profit?

A

Rs. 6160.

B

Rs. 6161.

C

Rs. 6159.

D

Rs. 6162.

Soln.
Ans: a

Let the profit be 100. If share of P is 95 × \$7/{7 + 15}\$, the profit is 100. So if share of P is 1862, the profit should be 100 × \${7 + 15}/7 × 1862/95\$ = Rs. 6160.

### Question 4

It was agreed that A would invest Rs. 5000 for 1 months and B would invest Rs. 16000 for 11 months. What will be the share of A in an annual profit of Rs. 108600?

A

Rs. 3000.

B

Rs. 3100.

C

Rs. 2900.

D

Rs. 3200.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 5000 × 1 = 5000, whereas those by B are 16000 × 11 = 176000. The ratio of these money-months is 5:176. This is the ratio in which the profits would be divided. A's share = 108600 × \$5/{5 + 176}\$ = Rs. 3000.

### Question 5

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. 9600, and the time for which they invested was in the ratio 2:3:7?

A

Rs. 2400.

B

Rs. 2500.

C

Rs. 2300.

D

Rs. 2600.

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/{2 + 3 + 7}\$ × 9600 = Rs. 2400.