Partnerships Quiz Set 019

Question 1

A and B invest in a business in the ratio 4 : 7. After 6 months their investments became in the ratio 7 : 4. What is A's share in the annual profit of Rs. 8800?

A

Rs. 4400.

B

Rs. 4500.

C

Rs. 4300.

D

Rs. 4600.

Soln.
Ans: a

The money months contributed by A are 6 × 4 + 6 × 7. The money months contributed by B are also same: 6 × 7 + 6 × 4, so their share would be equal. A's share = 8800/2 = Rs. 4400.

Question 2

Mr. X and Mr. Y start a venture with investments in the ratio 3 : 10. After 3 months, X withdraws \$1/3\$th of his capital, and Y withdraws \$1/10\$th of his capital. If the profit at the end of 10 months is 348, then what is the share of X?

A

Rs. 69.

B

Rs. 169.

C

Rs. 31.

D

Rs. 269.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 2:9. The ratio of money-months of X and Y is \${3 × 3 + 2 × 7}/{10 × 3 + 9 × 7}\$, which is \$23/93\$. Profit of X = \$23/{23 + 93}\$ × 348 = Rs. 69.

Question 3

A and B invest in a business in the ratio 8 : 17. If the total profit is Rs. 7500, what is the share of A?

A

Rs. 2400.

B

Rs. 2401.

C

Rs. 2399.

D

Rs. 2402.

Soln.
Ans: a

The profit is divided in the same ratio as their shares. So A's profit = \$8/{8 + 17}\$ × 7500 = Rs. 2400.

Question 4

P, Q and R start a venture with investments of Rs. 900, Rs. 500 and Rs. 400. After 3 months R leaves the business. What is R's share in the annual profit of Rs. 18000?

A

Rs. 1200.

B

Rs. 1300.

C

Rs. 1100.

D

Rs. 1400.

Soln.
Ans: a

Sum of the money months is 900 × 12 + 500 × 12 + 400 × 3 = 18000. Share of R = \${400 × 3}/18000\$ × 18000 = Rs. 1200.

Question 5

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.