# Partnerships Quiz Set 011

### Question 1

During the first 2 months the investments of A and B were in the ratio 5:19. For the remaining months the investments were in the ratio 19:5. What will be the share of A in an annual profit of Rs. 28800?

A

Rs. 20000.

B

Rs. 20100.

C

Rs. 19900.

D

Rs. 20200.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 2 × 5 + 10 × 19 = 200, whereas those by B are 2 × 19 + 10 × 5 = 88. The ratio of these money-months is 25:11. This is the ratio in which the profits would be divided. A's share = 28800 × \$25/{25 + 11}\$ = Rs. 20000.

### Question 2

X and Y start a venture with investments of Rs. 500 and Rs. 700. After 6 months Z joins with Rs. 500. What is Z's share in the annual profit of Rs. 17400?

A

Rs. 3000.

B

Rs. 3100.

C

Rs. 2900.

D

Rs. 3200.

Soln.
Ans: a

Sum of the money months is 500 × 12 + 700 × 12 + 500 × 6 = 17400. Share of Z = \${500 × 6}/17400\$ × 17400 = Rs. 3000.

### Question 3

A, B and C hire a coffee vending machine. A uses it for 5 hours and prepares 4 cups, B uses it for 4 hours and prepares 2 cups and C uses it for 9 hours and prepares 7 cups. If the total rent is Rs. 728, how much should A pay?

A

Rs. 160.

B

Rs. 170.

C

Rs. 150.

D

Rs. 180.

Soln.
Ans: a

Sum of the cup-hours is 4 × 5 + 4 × 2 + 9 × 7 = 91. Share of A = \${4 × 5}/91\$ × 728 = Rs. 160.

### Question 4

A, B and C start a partnership business by investing in the ratio 1:3:8. It was agreed that (1/3)rd of the profit would be divided equally, and the remaining proportionately. What is B's share in a profit of Rs. 7200?

A

Rs. 2000.

B

Rs. 2100.

C

Rs. 1900.

D

Rs. 2200.

Soln.
Ans: a

Profit to be proportioned is \$(2 × 7200)/3\$ = 4800. B's share in this is \$(3 × 4800)/(1 + 3 + 8)\$ = Rs. 1200. To this add 1/9 of the profit = 7200/9 = 800. The total share = Rs. 2000.

### Question 5

A, B and C start a partnership business by investing in the ratio 1:4:7. It was agreed that (1/3)rd of the profit would be divided equally, and the remaining proportionately. What is B's share in a profit of Rs. 14400?

A

Rs. 4800.

B

Rs. 4900.

C

Rs. 4700.

D

Rs. 5000.

Soln.
Ans: a

Profit to be proportioned is \$(2 × 14400)/3\$ = 9600. B's share in this is \$(4 × 9600)/(1 + 4 + 7)\$ = Rs. 3200. To this add 1/9 of the profit = 14400/9 = 1600. The total share = Rs. 4800. This Blog Post/Article "Partnerships Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-04-26