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. Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is

Rs 200
Rs 300
Rs 400
Rs 500

Answer: Option C

Explanation:

Let C = x.
Then B = x/2
and A = x/4

A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400

3. 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)

4. 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

5. 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 :) ]