Partnerships Quiz Set 001

Question 1

P and Q start a business with investments in the ratio 4 : 5. After 3 months, P increases his capital by \$1/4\$th, and Q increases his capital by \$1/5\$th. If the profit at the end of 10 months is 208, then what is the share of P?

A

Rs. 94.

B

Rs. 194.

C

Rs. 6.

D

Rs. 294.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 5:6. The ratio of money-months of P and Q is \${4 × 3 + 5 × 7}/{5 × 3 + 6 × 7}\$, which is \$47/57\$. Profit of P = \$47/{47 + 57}\$ × 208 = Rs. 94.

Question 2

During the first 3 months the investments of A and B were in the ratio 3:19. For the remaining months the investments were in the ratio 19:3. What will be the share of A in an annual profit of Rs. 13200?

A

Rs. 9000.

B

Rs. 9100.

C

Rs. 8900.

D

Rs. 9200.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 3 × 3 + 9 × 19 = 180, whereas those by B are 3 × 19 + 9 × 3 = 84. The ratio of these money-months is 15:7. This is the ratio in which the profits would be divided. A's share = 13200 × \$15/{15 + 7}\$ = Rs. 9000.

Question 3

A, B and C start a partnership business by investing in the ratio 1:3:8. It was agreed that (1/3)rd of the profit would be divided equally, and the remaining proportionately. What is B's share in a profit of Rs. 7200?

A

Rs. 2000.

B

Rs. 2100.

C

Rs. 1900.

D

Rs. 2200.

Soln.
Ans: a

Profit to be proportioned is \$(2 × 7200)/3\$ = 4800. B's share in this is \$(3 × 4800)/(1 + 3 + 8)\$ = Rs. 1200. To this add 1/9 of the profit = 7200/9 = 800. The total share = Rs. 2000.

Question 4

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.

Question 5

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.

This Blog Post/Article "Partnerships Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer