Question 64

Sachin’s income is 25% more than Dileep’s income. By how much percentage is Dileep’s income less than Sachin’s income ?

Solution

Let the income of Sachin = S

Income of Dileep = D

Given,  Sachin's income is 25% more than Dileep's income

$$=$$>  $$\text{S}=\frac{125}{100}\text{D}$$

$$=$$>  $$\text{S}=\frac{5}{4}\text{D}$$

$$\therefore\ $$Required Percentage = $$\frac{S-D}{S}\times100$$

= $$\frac{\frac{5}{4}D-D}{\frac{5}{4}D}\times100$$

= $$\frac{\frac{D}{4}}{\frac{5D}{4}}\times100$$

= $$\frac{1}{5}\times100$$

= 20%

$$\therefore\ $$Dileep's income is 20% less than Sachin's income

Hence, the correct answer is Option B


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