Question

A student first decreased a number by 20% and then increased the decreased number by 20% The number so obtained in
20 less than the original numbers what was the original number?

100
500
400
200

Answer 1

Answer:

100

Step-by-step explanation:

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Answer 2

option (b)

The number is 500

Step-by-step explanation:

let the original number be x

according to question

if it is decreased a number by 20%

i.e 20% of x

= $\frac{20}{100} \times x = 0.2x$

then

x - 0.2 x = 0.8 x

now , this number is increased by 20%

i.e

20% of 0.8 x

$\frac{20}{100} \times 0.8 x = 0.16x$

then new number = 0.8x + 0.16 x = 0.96 x

then

The number so obtained is 20 less than the original numbers

x - 0.96x = 20

0.04x = 20

x = 500

hence , option (b)

The number is 500

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