# Partnerships Quiz Set 002

### Question 1

The investments of three partners are in an AP. Their venture makes an annual profit of Rs. 2700. What is the share of the partner who neither invested the most nor the least?

A

Rs. 900.

B

Rs. 1000.

C

Rs. 800.

D

Rs. 1100.

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 = \$2700/3\$ = Rs. 900.

### Question 2

A and B invest in a business in the ratio 7 : 19. After 6 months their investments became in the ratio 19 : 7. What is A's share in the annual profit of Rs. 18200?

A

Rs. 9100.

B

Rs. 9200.

C

Rs. 9000.

D

Rs. 9300.

Soln.
Ans: a

The money months contributed by A are 6 × 7 + 6 × 19. The money months contributed by B are also same: 6 × 19 + 6 × 7, so their share would be equal. A's share = 18200/2 = Rs. 9100.

### Question 3

X and Y start a venture with investments of Rs. 500 and Rs. 500. After 9 months Z joins with Rs. 600. What is Z's share in the annual profit of Rs. 13800?

A

Rs. 1800.

B

Rs. 1900.

C

Rs. 1700.

D

Rs. 2000.

Soln.
Ans: a

Sum of the money months is 500 × 12 + 500 × 12 + 600 × 3 = 13800. Share of Z = \${600 × 3}/13800\$ × 13800 = Rs. 1800.

### Question 4

The investments of three partners are in an AP. Their venture makes an annual profit of Rs. 1200. What is the share of the partner who neither invested the most nor the least?

A

Rs. 400.

B

Rs. 500.

C

Rs. 300.

D

Rs. 600.

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 = \$1200/3\$ = Rs. 400.

### Question 5

P and Q start a business with investments in the ratio 7 : 10. After 3 months, P increases his capital by \$1/7\$th, and Q increases his capital by \$1/10\$th. If the profit at the end of 10 months is 736, then what is the share of P?

A

Rs. 308.

B

Rs. 408.

C

Rs. 208.

D

Rs. 508.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 8:11. The ratio of money-months of P and Q is \${7 × 3 + 8 × 7}/{10 × 3 + 11 × 7}\$, which is \$77/107\$. Profit of P = \$77/{77 + 107}\$ × 736 = Rs. 308. 