# Partnerships Quiz Set 008

### Question 1

A, B and C start a partnership business by investing in the ratio 3:5:4. 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. 21600?

A

Rs. 8400.

B

Rs. 8500.

C

Rs. 8300.

D

Rs. 8600.

Soln.
Ans: a

Profit to be proportioned is \$(2 × 21600)/3\$ = 14400. B's share in this is \$(5 × 14400)/(3 + 5 + 4)\$ = Rs. 6000. To this add 1/9 of the profit = 21600/9 = 2400. The total share = Rs. 8400.

### Question 2

During the first 1 months the investments of A and B were in the ratio 5:13. For the remaining months the investments were in the ratio 13:5. What will be the share of A in an annual profit of Rs. 37800?

A

Rs. 25900.

B

Rs. 26000.

C

Rs. 25800.

D

Rs. 26100.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 1 × 5 + 11 × 13 = 148, whereas those by B are 1 × 13 + 11 × 5 = 68. The ratio of these money-months is 37:17. This is the ratio in which the profits would be divided. A's share = 37800 × \$37/{37 + 17}\$ = Rs. 25900.

### Question 3

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 4

X and Y invest in a business in the ratio 7 : 15. If X earns Rs. 3500, what is the profit?

A

Rs. 11000.

B

Rs. 11001.

C

Rs. 10999.

D

Rs. 11002.

Soln.
Ans: a

If X earns 7, the profit is 7 + 15. Then, if the earning is 3500, profit = \${7 + 15}/7\$ × 3500 = Rs. 11000.

### Question 5

It was agreed that A would invest Rs. 8000 for 2 months and B would invest Rs. 17000 for 10 months. What will be the share of A in an annual profit of Rs. 46500?

A

Rs. 4000.

B

Rs. 4100.

C

Rs. 3900.

D

Rs. 4200.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 8000 × 2 = 16000, whereas those by B are 17000 × 10 = 170000. The ratio of these money-months is 8:85. This is the ratio in which the profits would be divided. A's share = 46500 × \$8/{8 + 85}\$ = Rs. 4000. 