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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. 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. 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
3. 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
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. 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?
- 4
- 5
- 6
- 7
Answer: Option B
Explanation:
Suppose B joined after x months
then,
21000*12=36000*(12-x)
=> 36x = 180
=> x = 5
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