To find the monthly income of Vijay, we need to analyze the given information step-by-step:
- The ratio of the monthly incomes of Vijay and Mohan is given as 5:9. Let's assume Vijay's monthly income is \(5x\) and Mohan's monthly income is \(9x\).
- Both individuals save ₹42,000 each month. Therefore, their expenditures are their incomes minus their savings.
- The expenditures can be expressed as:
- Vijay's expenditure = \(5x - 42000\)
- Mohan's expenditure = \(9x - 42000\)
- The ratio of their monthly expenditures is given as 2:4, which simplifies to 1:2.
- Setting up the equation with this ratio:
\frac{5x - 42000}{9x - 42000} = \frac{1}{2}
- Cross multiply to solve for \(x\):
2(5x - 42000) = 9x - 42000
10x - 84000 = 9x - 42000
- Rearrange and solve for \(x\):
10x - 9x = 84000 - 42000
x = 42000
- Since Vijay's income is \(5x\), substitute \(x = 42000\):
5x = 5 \times 42000 = 210000
Therefore, the monthly income of Vijay is ₹2,10,000. Thus, the correct answer is 2,10,000.
Important Questions from Input Output
When 12 is subtracted from a number, it reduces to its 40%. Two-fifth of that number is:
After an increase of 9% in salary, a person received ₹6,300. What was his salary before the increase (consider integral part only)?
If x : y = 5 : 6, then 2x + 3y : 3x + 5y is:
The salary of employees in a factory was reduced by 20% due to economic crisis. In order to have their salary back to original amount, it must be raised by:
An election was held between two candidates. The winning candidate scored 54% of the valid votes and won by 88 votes. If 58 votes were declared invalid, then find the total number of votes polled in the election.
