# Partnerships Quiz Set 012

### Question 1

P and Q invest in a business in the ratio 7 : 18. If 5% of the profit is donated as flood relief, and P gets Rs. 1197, what is the profit?

A

Rs. 4500.

B

Rs. 4501.

C

Rs. 4499.

D

Rs. 4502.

Soln.
Ans: a

Let the profit be 100. If share of P is 95 × \$7/{7 + 18}\$, the profit is 100. So if share of P is 1197, the profit should be 100 × \${7 + 18}/7 × 1197/95\$ = Rs. 4500.

### Question 2

A and B invest in a business in the ratio 7 : 19. If the total profit is Rs. 23400, what is the share of A?

A

Rs. 6300.

B

Rs. 6301.

C

Rs. 6299.

D

Rs. 6302.

Soln.
Ans: a

The profit is divided in the same ratio as their shares. So A's profit = \$7/{7 + 19}\$ × 23400 = Rs. 6300.

### Question 3

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 4

A and B invest in a business in the ratio 7 : 19. After 6 months their investments became in the ratio 19 : 7. What is A's share in the annual profit of Rs. 18200?

A

Rs. 9100.

B

Rs. 9200.

C

Rs. 9000.

D

Rs. 9300.

Soln.
Ans: a

The money months contributed by A are 6 × 7 + 6 × 19. The money months contributed by B are also same: 6 × 19 + 6 × 7, so their share would be equal. A's share = 18200/2 = Rs. 9100.

### Question 5

A starts a venture with Rs. 256. After 8 months B also joins him. At the end of the year, the profits were shared in the ratio 8 : 17. What was the investment of B?

A

Rs. 1632.

B

Rs. 1732.

C

Rs. 1532.

D

Rs. 1832.

Soln.
Ans: a

Money-months contributed contributed by A = 256 × 12 = 3072. So money months of B should be \$17/8 × 3072\$, therefore, money of B = \$17/8 × 3072/4\$ = Rs. 1632.