Question

If 15% of a number is less than 28% of 650 by 38, find the number.

Answer 1

Answer:

$\because\underline\textsf{ The required number =960}$

$\huge\underline\textsf{Explantion:- }$

$\underline\textsf{ Suppose the required number be =\red Y}$

$\sf\red{Given}\begin{cases}\sf\green{15\% \:of \:Y \:is \:less \:than } \\ \sf\orange{28\% \:of} \\\sf{650 \:by \:38}\end{cases}$

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$\star\underline\textsf{Taking 100 as LCM :- }$

$\star\boxed{\sf\green\ {\frac{28 \times 650}{100} - \frac{15y}{100} = 38}}$

$\leadsto\sf\red{15x=18200-3800 }$

$\leadsto\sf\red{28 \times 650 - 15x = 3800}$

$\leadsto\sf\blue{15x = 14400}$

$\leadsto\sf\purple{divide \: both \: by \: side \: by \: 15}$

$\implies\bf\color{darkblue}{ y = 960}$

$\underline\textsf{The Required number is 960}$