Question

If Mohan’s income is 25% more than Raman’s income, then Raman’s income is less than Mohan’s income by ______.

Options

• 25%

• 80%

• 20%

• 75%

Answer 1

If Mohan’s income is 25% more than Raman’s income, then Raman’s income is less than Mohan’s income by 20%.

Explanation:

Let the raman income be x it is given that Mohan’s income is 25% more than Raman’s income.

Then, Mohan's income = x + 25% of x

= `x + 25/100x`

= `x(1 + 25/100)`

= `x((100 + 25)/100)`

= `125/100x`

∴ Raman's income as compared to Mohan's income

= `("Mohan's income" - "Raman's income")/"Mohan's income" xx 100%`

= `(125/100 x - x)/(125/100 x) xx 100%`

= `((125x - 100x)/100)/(125/100x) xx 100%`

= `(25x)/(125x) xx 100%`

= 20%