# Partnerships Quiz Set 020

### Question 1

A and B invest in a business in the ratio 4 : 9. It was decided that any loss would be shared in the inverse ratio of the investments. If the total loss is Rs. 2600, what is the burden on A?

A

Rs. 1800.

B

Rs. 1900.

C

Rs. 1700.

D

Rs. 2000.

Soln.
Ans: a

The loss is divided in the inverse ratio as their shares. So A's loss = \$9/{4 + 9}\$ × 2600 = Rs. 1800.

### Question 2

P, Q and R start a venture with investments of Rs. 600, Rs. 600 and Rs. 700. After 6 months R leaves the business. What is R's share in the annual profit of Rs. 18600?

A

Rs. 4200.

B

Rs. 4300.

C

Rs. 4100.

D

Rs. 4400.

Soln.
Ans: a

Sum of the money months is 600 × 12 + 600 × 12 + 700 × 6 = 18600. Share of R = \${700 × 6}/18600\$ × 18600 = Rs. 4200.

### Question 3

The investments of three partners are in an AP. Their venture makes an annual profit of Rs. 2400. What is the share of the partner who neither invested the most nor the least?

A

Rs. 800.

B

Rs. 900.

C

Rs. 700.

D

Rs. 1000.

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 = \$2400/3\$ = Rs. 800.

### Question 4

P and Q start a business with investments in the ratio 3 : 16. After 3 months, P increases his capital by \$1/3\$th, and Q increases his capital by \$1/16\$th. If the profit at the end of 10 months is 612, then what is the share of P?

A

Rs. 111.

B

Rs. 211.

C

Rs. 11.

D

Rs. 311.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 4:17. The ratio of money-months of P and Q is \${3 × 3 + 4 × 7}/{16 × 3 + 17 × 7}\$, which is \$37/167\$. Profit of P = \$37/{37 + 167}\$ × 612 = Rs. 111.

### Question 5

Three investors, A, B and C, start a business with contributions in the ratio 2:3:5. What is the share of A if the annual profit is Rs. 10000?

A

Rs. 2000.

B

Rs. 2100.

C

Rs. 1900.

D

Rs. 2200.

Soln.
Ans: a

The profits are divided in proportion to the amount invested by each party. A's share = \$2/{2 + 3 + 5}\$ × 10000 = Rs. 2000. 