Correct Answer - Option 4 : 7 months
Given
Vansh and Aman invested in business respectively = Rs. 20000 and Rs. 24000
Shubham invested in business = Rs. 36000
Ratio of their Profit = 4 : 2 : 3
Formula used
Investment = capital × time
Calculation
Ratio of their capital investment = 20000 : 24000 : 36000
⇒ 5 : 6 : 9
According to question
Ratio of time of investment = 12 : 12 – M : 12 – M
Total ratio = 5 × 12: 6 × (12 – M) : 9 × (12 – M)
⇒ 60 : 72 – 6M : 108 – 9M
Ratio of profit of Vansh and Aman
⇒ 60/ (72 – 6M) = 4/2 (Cross Multiplication)
60 = 2 × (72 - 6M)
⇒ M = 7 Months
∴ The value of M is 7 Months.
Solution verification, assumption M = 7
|
|
|
|
|
Vansh |
Aman |
Shubham |
Investment (in Rs.) |
20000 |
24000 |
36000 |
Time duration (in months) |
12 |
5 |
5 |
|
|
|
|
Profit |
240000 |
120000 |
180000 |
Profit/12000 |
2 |
1 |
1.5 |
(Profit/6000) |
4 |
2 |
3
|
Ratio of their Profit = 4 : 2 : 3