Question Detail

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}

1. 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

2. Check which among following are required to answer this questions :

Three friends started a businesss, let there names are A, B and C. What profit B will get, if,

1. C invested Rs. 8000 for nine months, his profit was 3/2 times that of B's and his investment was four times that of A.

2. A and B invested for one year in the proportion 1 : 2 respectively.

3. The three together got Rs. 1000 as profit at the year end.

Only 1 and 3
Only 1 and 2
All 1, 2 and 3
None of above

Answer: Option C

Explanation:

We will require all the statements to answer this question,

1 and 2 will give :
C = Rs. (8000 x 9) for 1 month = Rs. 72000 for 1 month.
A = Rs. (1/4 * 8000 * 12 ) for 1 month = Rs 24000 for 1 month
B = Rs 48000 for one month

C:A:B = 72000 : 24000 : 48000 = 3 : 1 : 2

From 3, we will get total Profit = 1000

Now from the ratio and total profit we can get Share of C.

C share will be = 1000 * 2/6 = 333 (1/3)

3. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C

3:7:5
6:10:5
6:10:7
6:7:5

Answer: Option B

Explanation:

Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.

A:B:C =(3x*12):(5x*12):(5x*6)
= 36:60:30
= 6:10:5

4. 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}

5. Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share initially ?

Rs 2300
Rs 2400
Rs 2500
None of above

Answer: Option A

Explanation:

Nirmal:Kapil = 9000*12:(12000*6+6000*6) = 1:1

Kapils share = Rs. [4600 *(1/2)) = Rs. 2300