# Partnerships Quiz Set 016

### Question 1

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 4:5:3?

A

Rs. 4000.

B

Rs. 4100.

C

Rs. 3900.

D

Rs. 4200.

Soln.
Ans: a

The amounts are same but times are different. So the share should be in the ratio of times. Share of B = \$5/{4 + 5 + 3}\$ × 9600 = Rs. 4000.

### Question 2

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.

### Question 3

The investments of three partners are in an AP. Their venture makes an annual profit of Rs. 2100. What is the share of the partner who neither invested the most nor the least?

A

Rs. 700.

B

Rs. 800.

C

Rs. 600.

D

Rs. 900.

Soln.
Ans: a

Let the investments be a - d, a and a + d. The sum of these investments = 3a. The share of the middle partner would be a/3a = (1/3)rd of the profit = \$2100/3\$ = Rs. 700.

### 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

The investments of three partners are in an AP. Their venture makes an annual profit of Rs. 2700. What is the share of the partner who neither invested the most nor the least?

A

Rs. 900.

B

Rs. 1000.

C

Rs. 800.

D

Rs. 1100.

Soln.
Ans: a

Let the investments be a - d, a and a + d. The sum of these investments = 3a. The share of the middle partner would be a/3a = (1/3)rd of the profit = \$2700/3\$ = Rs. 900.