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If Mohan’s income is 25% more than Raman’s income, then Raman’s income is less than Mohan’s income by
(a) 25%
(b) 80%
(c) 20%
(d) 75%

Solution:

Given, Mohan’s income is 25% more than Raman’s income

We have to determine by how much Raman’s income is less than Mohan’s income.

Let the Mohan’s income be x

So, Raman’s income = x + (25/100) x

= (1 + 25/100)x

= [(100+25)/100]x

Raman’s income = (125/100)x

To find by how much Raman’s income is less than Mohan’s income,

= Mohan’s income - Raman’s income/Mohan’s income × 100%

= [(125/100 x - x)/125/100 x] × 100

= [(125-100)/100 x]/(125/100)x × 100

= (25/100)x/(125/100)x × 100

= 25/100 × 100/125 × 100

= 25/125 × 100

= 100/5

= 20%

Therefore, the required value is 20%

✦ Try This: If Rohan’s income is 25% more than Somu’s income, then Somu’s income is less than Rohan’s income by

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 13

If Mohan’s income is 25% more than Raman’s income, then Raman’s income is less than Mohan’s income by (a) 25%, (b) 80%, (c) 20%, (d) 75%

Summary:

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

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