# Partnerships Quiz Set 014

### Question 1

A, B and C start a partnership business. A invests Rs. 900 and C invests Rs. 600. What should B have invested if it wanted to earn a share of Rs. 400 in the annual profit of Rs. 800?

A

Rs. 750.

B

Rs. 850.

C

Rs. 650.

D

Rs. 950.

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 \${900 + 600}/2\$ = Rs. 750.

### Question 2

Three investors, A, B and C, start a business with contributions in the ratio 2:5:7. What is the share of A if the annual profit is Rs. 19600?

A

Rs. 2800.

B

Rs. 2900.

C

Rs. 2700.

D

Rs. 3000.

Soln.
Ans: a

The profits are divided in proportion to the amount invested by each party. A's share = \$2/{2 + 5 + 7}\$ × 19600 = Rs. 2800.

### Question 3

X starts a business with a capital of Rs. 3200. Some months later Y joins him with a capital of Rs. 400. For how much period does Y join if the profits are shared in the ratio 16 : 1?

A

6.

B

7.

C

5.

D

8.

Soln.
Ans: a

Money-months of X are 3200 × 12 = 38400. If money-months of X are 16 then money-months of Y are 1. So, if money-months of X are 38400, money-months of Y are \$1/16 × 38400\$, which gives months of Y = \${1 × 38400}/{16 × 400}\$ = 6 months.

### Question 4

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. 10800, and the time for which they invested are in an AP?

A

Rs. 3600.

B

Rs. 3700.

C

Rs. 3500.

D

Rs. 3800.

Soln.
Ans: a

Let the times be a - d, a and a + d. The amounts are same but times are different. So the share should be in the ratio of times. Share of B = \$(time of B)/(sum of times)\$ × 10800 = \$a/{3a}\$ × 10800 = Rs. 3600.

### 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. 6000, and the time for which they invested was in the ratio 3:5:4?

A

Rs. 2500.

B

Rs. 2600.

C

Rs. 2400.

D

Rs. 2700.

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/{3 + 5 + 4}\$ × 6000 = Rs. 2500.