If Ram's income is 25 % more than that of Shyam, ther how many percent is Shyam's income less than that of Ram?
in Mathematics
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If Ram's income is 25 % more than that of Shyam, ther how many percent is Shyam's income less than that of Ram?
in Mathematics
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Solution

: Let the Shyam's income be

$\therefore \quad$ From the question,

$\begin{aligned} \text { Ram's income } & \text { Rs. } 100 \\ &=100+25 \% \text { of } 100 \\ &=100+\frac{25 \times 100}{100} \\ &=100+25=\text { Rs. } 125 \end{aligned}$

$\therefore \quad$ Shyam's income w.r.t Ram is

less than Rs. $25 .$

$\therefore \quad \%$ loss $=\frac{25}{125} \times 100=20 \% ;$ Ans.

Trick : Require less income of Shyam $=\left(\frac{25}{100+25}\right) \times 100$ $=20 \%$; Ans.

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