# Partnerships Quiz Set 008

### Question 1

A and B invest in a business in the ratio 9 : 19. It was decided that any loss would be shared in the inverse ratio of the investments. If the total loss is Rs. 16800, what is the burden on A?

A

Rs. 11400.

B

Rs. 11500.

C

Rs. 11300.

D

Rs. 11600.

Soln.
Ans: a

The loss is divided in the inverse ratio as their shares. So A's loss = \$19/{9 + 19}\$ × 16800 = Rs. 11400.

### Question 2

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 3

A starts a venture with Rs. 216. After 9 months B also joins him. At the end of the year, the profits were shared in the ratio 9 : 13. What was the investment of B?

A

Rs. 1248.

B

Rs. 1348.

C

Rs. 1148.

D

Rs. 1448.

Soln.
Ans: a

Money-months contributed contributed by A = 216 × 12 = 2592. So money months of B should be \$13/9 × 2592\$, therefore, money of B = \$13/9 × 2592/3\$ = Rs. 1248.

### Question 4

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 5

A and B invest in a business in the ratio 7 : 16. If the total profit is Rs. 13800, what is the share of A?

A

Rs. 4200.

B

Rs. 4201.

C

Rs. 4199.

D

Rs. 4202.

Soln.
Ans: a

The profit is divided in the same ratio as their shares. So A's profit = \$7/{7 + 16}\$ × 13800 = Rs. 4200.