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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

Similar Questions :

1. Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?

  • Rs 7000
  • Rs 6000
  • Rs 5000
  • Rs 4000

Answer: Option D

Explanation:

Just take care of the months of investment, rest all will be simple.

Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3
= 2:2:1
Atul's share = Rs. 20000 * (1/5) = Rs. 4000

2. A, B and C enter into a partnership investing Rs 35000, Rs 45000 and Rs 55000 resp. The respective share of A,B and C in an annual profit of Rs 40500 are.

  • Rs. 11500, Rs. 13500, Rs. 16500
  • Rs. 10500, Rs. 12500, Rs. 16500
  • Rs. 10500, Rs. 13500, Rs. 15500
  • Rs. 10500, Rs. 13500, Rs. 16500

Answer: Option D

Explanation:

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

Now we are having the ratio.
to get the share, first make total of above ratio.
then get each share.

\begin{aligned}
\text{A's Share} = 40500*\frac{7}{27} \\
= Rs&10500 \\

\text{B's Share} = 40500*\frac{9}{27} \\
= Rs&13500 \\

\text{B's Share} = 40500*\frac{11}{27} \\
= Rs&16500 \\

\end{aligned}

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. 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. Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh

  • Rs. 2000
  • Rs. 3000
  • Rs. 4000
  • Rs. 5000

Answer: Option D

Explanation:

Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 * 6 : x * 12.
120000/12x : 6000/3000
=> x = 120000/24 = 5000

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