# Partnerships Quiz Set 010

### Question 1

Mr. X and Mr. Y start a venture with investments in the ratio 2 : 9. After 3 months, X withdraws \$1/2\$th of his capital, and Y withdraws \$1/9\$th of his capital. If the profit at the end of 10 months is 288, then what is the share of X?

A

Rs. 39.

B

Rs. 139.

C

Rs. 61.

D

Rs. 239.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 1:8. The ratio of money-months of X and Y is \${2 × 3 + 1 × 7}/{9 × 3 + 8 × 7}\$, which is \$13/83\$. Profit of X = \$13/{13 + 83}\$ × 288 = Rs. 39.

### 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 starts a venture with Rs. 50. After 7 months B also joins him. At the end of the year, the profits were shared in the ratio 5 : 19. What was the investment of B?

A

Rs. 456.

B

Rs. 556.

C

Rs. 356.

D

Rs. 656.

Soln.
Ans: a

Money-months contributed contributed by A = 50 × 12 = 600. So money months of B should be \$19/5 × 600\$, therefore, money of B = \$19/5 × 600/5\$ = Rs. 456.

### Question 4

The investments of three partners are in an AP. Their venture makes an annual profit of Rs. 2100. What is the share of the partner who neither invested the most nor the least?

A

Rs. 700.

B

Rs. 800.

C

Rs. 600.

D

Rs. 900.

Soln.
Ans: a

Let the investments be a - d, a and a + d. The sum of these investments = 3a. The share of the middle partner would be a/3a = (1/3)rd of the profit = \$2100/3\$ = Rs. 700.

### Question 5

X and Y start a venture with investments of Rs. 200 and Rs. 400. After 8 months Z joins with Rs. 400. What is Z's share in the annual profit of Rs. 8800?

A

Rs. 1600.

B

Rs. 1700.

C

Rs. 1500.

D

Rs. 1800.

Soln.
Ans: a

Sum of the money months is 200 × 12 + 400 × 12 + 400 × 4 = 8800. Share of Z = \${400 × 4}/8800\$ × 8800 = Rs. 1600. 