# Partnerships Quiz Set 004

### Question 1

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 2

Mr. X and Mr. Y start a venture with investments in the ratio 8 : 15. After 3 months, X withdraws \$1/8\$th of his capital, and Y withdraws \$1/15\$th of his capital. If the profit at the end of 10 months is 1080, then what is the share of X?

A

Rs. 365.

B

Rs. 465.

C

Rs. 265.

D

Rs. 565.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 7:14. The ratio of money-months of X and Y is \${8 × 3 + 7 × 7}/{15 × 3 + 14 × 7}\$, which is \$73/143\$. Profit of X = \$73/{73 + 143}\$ × 1080 = Rs. 365.

### Question 3

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 2:3:7?

A

Rs. 2400.

B

Rs. 2500.

C

Rs. 2300.

D

Rs. 2600.

Soln.
Ans: a

The amounts are same but times are different. So the share should be in the ratio of times. Share of B = \$3/{2 + 3 + 7}\$ × 9600 = Rs. 2400.

### Question 4

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.

### Question 5

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.