Question

13. If 15% of 40 is greater than 25% of a number by 2, then the number is (a) 12 (b) 16 (c) 24 (d) 32​

Answer 1

Answer:

Given :-

• If 15% of 40 is greater than 25% of a number by 2.

To Find :-

• What is the number.

Solution :-

Let,

$\mapsto \bf Number =\: x$

According to the question :

$\bigstar$ 15% of 40 is greater than 25% of a number by 2.

So,

$\implies \bf 15\%\: of\: 40 - 25\%\: of\: Number =\: 2$

$\implies \sf 15\% \times 40 - 25\% \times x =\: 2$

$\implies \sf \dfrac{15}{100} \times 40 - \dfrac{25}{100} \times x =\: 2$

$\implies \sf \dfrac{15 \times 40}{100} - \dfrac{25 \times x}{100} =\: 2$

$\implies \sf \dfrac{600}{100} - \dfrac{25x}{100} =\: 2$

$\implies \sf \dfrac{600 - 25x}{100} =\: 2$

By doing cross multiplication we get,

$\implies \sf 2(100) =\: 600 - 25x$

$\implies \sf 2 \times 100 =\: 600 - 25x$

$\implies \sf 200 =\: 600 - 25x$

$\implies \sf 200 - 600 =\: - 25x$

$\implies \sf {\cancel{-}} 400 =\: {\cancel{-}} 25x$

$\implies \sf 400 =\: 25x$

$\implies \sf \dfrac{400}{25} =\: x$

$\implies \sf \dfrac{16}{1} =\: x$

$\implies \sf 16 =\: x$

$\implies \sf\bold{\blue{x =\: 16}}$

Hence, the required number is :

$\dashrightarrow \sf Number =\: x$

$\dashrightarrow \sf\boxed{\bold{\red{Number =\: 16}}}$

$\sf\bold{\purple{\underline{\therefore\: The\: number\: is\: 16\: .}}}$

Hence, the correct options is option no (b) 16 .

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