# Partnerships Quiz Set 003

### Question 1

A, B and C start a partnership business. A invests Rs. 800 and C invests Rs. 500. What should B have invested if it wanted to earn a share of Rs. 350 in the annual profit of Rs. 700?

A

Rs. 650.

B

Rs. 750.

C

Rs. 550.

D

Rs. 850.

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 \${800 + 500}/2\$ = Rs. 650.

### Question 2

A, B and C hire a coffee vending machine. A uses it for 2 hours and prepares 4 cups, B uses it for 9 hours and prepares 5 cups and C uses it for 8 hours and prepares 4 cups. If the total rent is Rs. 510, how much should A pay?

A

Rs. 48.

B

Rs. 58.

C

Rs. 38.

D

Rs. 68.

Soln.
Ans: a

Sum of the cup-hours is 4 × 2 + 9 × 5 + 8 × 4 = 85. Share of A = \${4 × 2}/85\$ × 510 = Rs. 48.

### Question 3

P and Q invest in a business in the ratio 9 : 17. If 5% of the profit is donated as flood relief, and P gets Rs. 2052, what is the profit?

A

Rs. 6240.

B

Rs. 6241.

C

Rs. 6239.

D

Rs. 6242.

Soln.
Ans: a

Let the profit be 100. If share of P is 95 × \$9/{9 + 17}\$, the profit is 100. So if share of P is 2052, the profit should be 100 × \${9 + 17}/9 × 2052/95\$ = Rs. 6240.

### Question 4

A and B invest in a business in the ratio 9 : 14. If the total profit is Rs. 9200, what is the share of A?

A

Rs. 3600.

B

Rs. 3601.

C

Rs. 3599.

D

Rs. 3602.

Soln.
Ans: a

The profit is divided in the same ratio as their shares. So A's profit = \$9/{9 + 14}\$ × 9200 = Rs. 3600.

### Question 5

A and B invest in a business in the ratio 9 : 19. After 6 months their investments became in the ratio 19 : 9. What is A's share in the annual profit of Rs. 8400?

A

Rs. 4200.

B

Rs. 4300.

C

Rs. 4100.

D

Rs. 4400.

Soln.
Ans: a

The money months contributed by A are 6 × 9 + 6 × 19. The money months contributed by B are also same: 6 × 19 + 6 × 9, so their share would be equal. A's share = 8400/2 = Rs. 4200. 