Question

Shikha’s income is $60\%$ more than that of Shalu. By what percent is Shalu’s income less than Shikha’s?

Answer 1

Step 1. Declaring the variable & finding the income of Shikha’s

Let $x$ be the income of Shalu.

Shikha’s income is$60\%$ more than that of Shalu

Shika’s income $=x+(60/100)x$

$$\begin{gathered} =x+0.6x \\ =1.6x \end{gathered}$$

Step 2. Finding the differences between the income of the two.

Difference between their income $=1.6x–x$

$=0.6x$

Step 3. Finding the percent by which Shalu’s income is less than that of Shikha.

$$\begin{gathered} (Differencebetweentheirincome/shikha’sincome)\times 100 \\ =(0.6/1.6)\times 100 \\ =37.5\% \end{gathered}$$

Hence, Shalu’s income is less than Shikha’s by $37.5\%$.