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Radha saves X % of her income. If her income increases by 28%and the expenditure increases by 20%, then her savings increase by 40%. What is the value of x ?

This questions was previously asked in

SSC CGL 23rd August 2021 Shift-1

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Explanation:

Income = Saving + Expenditure
Solution
Let income of Radha be 100
Saving of Radha = 100 x (x/100) = x Expenditure of Radha = (100 - x)
Radha salary after increment = 100 x (128/100) = 128
Radha expenditure after increment = (100-x) x 120/100
⇒(100 - x) x 6/5
New saving = 128-(100-x) x 6/5....(1)
New saving after increment = (x x 140/100)
New saving after increment = 7x/5....(2)
From equation (1) and (2)
128 (100-x) x 6/5 = 7x/5
⇒ 640-600+ 6x = 7x
⇒ 40 + 6x = 7x
=7x-6x=40
⇒x=40
:. The required value of x is 40

By: santosh

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