# Partnerships Quiz Set 013

### Question 1

A and B invest in a business in the ratio 5 : 14. After 6 months their investments became in the ratio 14 : 5. What is A's share in the annual profit of Rs. 9500?

A

Rs. 4750.

B

Rs. 4850.

C

Rs. 4650.

D

Rs. 4950.

Soln.
Ans: a

The money months contributed by A are 6 × 5 + 6 × 14. The money months contributed by B are also same: 6 × 14 + 6 × 5, so their share would be equal. A's share = 9500/2 = Rs. 4750.

### Question 2

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.

### Question 3

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 232, then what is the share of X?

A

Rs. 46.

B

Rs. 146.

C

Rs. 54.

D

Rs. 246.

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}\$ × 232 = Rs. 46.

### Question 4

X and Y invest in a business in the ratio 7 : 15. If X earns Rs. 4200, what is the profit?

A

Rs. 13200.

B

Rs. 13201.

C

Rs. 13199.

D

Rs. 13202.

Soln.
Ans: a

If X earns 7, the profit is 7 + 15. Then, if the earning is 4200, profit = \${7 + 15}/7\$ × 4200 = Rs. 13200.

### 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. 9600, and the time for which they invested was in the ratio 1:4:7?

A

Rs. 3200.

B

Rs. 3300.

C

Rs. 3100.

D

Rs. 3400.

Soln.
Ans: a

The amounts are same but times are different. So the share should be in the ratio of times. Share of B = \$4/{1 + 4 + 7}\$ × 9600 = Rs. 3200. 