Question

four fifth of a number is 25 more than 60% of that number. what is 70% of that number​

Answer 1

Given :

Four fifth of a number is 25 more than 60% of that number

To Find :

70 % of the number

Solution :

Let the number be " x "

A/c to condition ,

$\to \sf \dfrac{4}{5}x=(60\ \% )x+25\\\\\to \sf \dfrac{4x}{5}=\dfrac{60x}{100}+25\\\\\to \sf \dfrac{4x}{5}-\dfrac{3x}{5}=25\\\\\to \sf \dfrac{x}{5}=25\\\\\to \sf \pink{x=125}\ \; \bigstar$

So ,

$\sf (70\ \%)x\\\\\to \sf \dfrac{70x}{100}\\\\\to \sf \dfrac{7x}{10}\\\\\to \sf \dfrac{7}{10}\times 125\\\\\to \sf 7\times 12.5\\\\\to \sf \blue{87.5}\ \; \bigstar$

Answer 2

Answer:

✡ Given ✡

$\leadsto$ Four fifth of a number is 25 more than 60% of that number.

✡ To Find ✡

$\leadsto$ What is 70% of that number.

✡ Solution ✡

✏ Let the number be x.

▶ According to the question,

$\implies$ ($\dfrac{4}{5}$)x = 25+(60%)x

$\implies$ ($\dfrac{4}{5}$)x = 25+ ($\dfrac{60}{100}$)x

$\implies$ ($\dfrac{4}{5}$) - ($\dfrac{60}{100}$)x = 25

$\implies$ $\dfrac{80-60}{100}$x = 25

$\implies$ $\dfrac{20}{100}$x = 25

$\implies$ $\dfrac{1}{5}$x = 25

$\implies$ x = 125

Then,

$\implies$ 70% of x

$\implies$ $\dfrac{70}{100}$ × 125

$\implies$ 87.5

Step-by-step explanation:

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