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Question Detail
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
1. 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
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. Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of
Rs. 13,800. Deepak's share is
- Rs 9600
- Rs 8500
- Rs 8450
- Rs 8400
Answer: Option D
Explanation:
Ratio of their shares = 22500 : 35000
=9 : 14
Deepak's share = Rs.(13800×14/23)
= Rs. 8400
4. 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
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}
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