Question Detail

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

1. 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

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,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500

10500, 13500, 19500
10500, 13500, 18500
10500, 13500, 17500
10500, 13500, 16500

Answer: Option D

Explanation:

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

A's share = (7/27) *40500 = Rs 10500
B's share = (9/27) *40500 = Rs 13500
C's share = (11/27)*40500 = Rs 16500

[In options we can see that only salary of C is different in all options. So we cn just calculate the C share to solve question quickly :) ]

4. Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?

19:49:64
20:49:64
20:49:65
20:50:64

Answer: Option B

Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively

Then, 14x : 8y : 7z = 5 : 7 : 8

Now, 14x/8x = 5/7
=> y = (49/20)x

14x/7z = 5/8

=> z = (16/5)x

=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64

5. 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}