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. 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)

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 started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?

Answer: Option B

Explanation:

Suppose B joined after x months
then,
21000*12=36000*(12-x)
=> 36x = 180
=> x = 5

5. Kamal started a business investing Rs 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?

Rs 2380
Rs 2300
Rs 2280
Rs 2260

Answer: Option A

Explanation:

Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.
So
Kamal:Sameer = (9000*12):(8000*7)
= 108:56
= 27:14

Sameer Ratio in profit will be
\begin{aligned}
= \left(6970*\frac{14}{41}\right) \\
= Rs& 2380
\end{aligned}