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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. Sumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
- 17:1
- 17:2
- 17:3
- 17:4
Answer: Option C
Explanation:
Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.
P:Q = 85000:15000 = 17:3
Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.
2. 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
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. 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}
5. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C
- 3:7:5
- 6:10:5
- 6:10:7
- 6:7:5
Answer: Option B
Explanation:
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A:B:C =(3x*12):(5x*12):(5x*6)
= 36:60:30
= 6:10:5
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