Question Detail

A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?

Rs 690
Rs 790
Rs 890
Rs 990

Answer: Option C

Explanation:

A:B:C = (8000*6):(4000*8):(8000*8)
= 48:32:64
= 3:2:4

So B share = (2/9)*4005 = Rs 890

1. A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by

Rs. 3200
Rs. 3400
Rs. 3600
Rs. 3800

Answer: Option C

Explanation:

A:B: C = 16000*3 + 11000*9:12000*3 + 17000*9:21000*6
= 147:189:126 = 7:9:6
Difference of B and C’s shares =
Rs. [26400 * (9/22) — 26400 * (6/22))
= Rs. 3600

2. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

Rs 870
Rs 880
Rs 890
Rs 900

Answer: Option C

Explanation:

Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)
= 48 : 32 : 64
= 3 : 2 : 4

\begin{aligned}
\text{Kamal's share}= 4005 * \frac{2}{9}\\
= Rs 890
\end{aligned}

3. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital

Rs 9000
Rs 7000
Rs 5000
Rs 4000

Answer: Option A

Explanation:

Let B contribution is x.
\begin{aligned}
\frac{3500*12}{7x} = \frac{2}{3} \\
=> 14x = 126000
=> x = Rs 9000
\end{aligned}

4. A, B and C enter into a partnership investing Rs 35000, Rs 45000 and Rs 55000 resp. The respective share of A,B and C in an annual profit of Rs 40500 are.

Rs. 11500, Rs. 13500, Rs. 16500
Rs. 10500, Rs. 12500, Rs. 16500
Rs. 10500, Rs. 13500, Rs. 15500
Rs. 10500, Rs. 13500, Rs. 16500

Answer: Option D

Explanation:

A:B:C = 35000:45000:55000
= 7:9:11

Now we are having the ratio.
to get the share, first make total of above ratio.
then get each share.

\begin{aligned}
\text{A's Share} = 40500*\frac{7}{27} \\
= Rs&10500 \\

\text{B's Share} = 40500*\frac{9}{27} \\
= Rs&13500 \\

\text{B's Share} = 40500*\frac{11}{27} \\
= Rs&16500 \\

\end{aligned}

5. In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2, If Rs 157300 was their profit, how much amount did B receive.

Rs 48000
Rs 47000
Rs 47400
Rs 48400

Answer: Option D

Explanation:

A:B = 3:2 = 6:4
=> A:C = 2:1 = 6:3

=> A:B:C = 6:4:3

B share = (4/13)*157300
= 48400