Suman saves 33% of her income. If her income increases by x% and expenditure increases by 10%, then her savings increase by 22%. What is the value of x?
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Correct answer: B
Explanation
The correct answer is Option 1 i.e. 14.
Initial savings = 1/3 of income
Let initial income = 300 and Initial savings = 100
Initial expenditure = 300 - 100 = 200
New income = 300 + (x% of 300) = 300(1 + x/100)
New expenditure = 200 × (11/10) = 220
New savings = 100 22 = 122
300(1 + x/100) - 220 = 122
⇒ 300 + 3x - 220 = 122
⇒ 80 + 3x = 122
⇒ 3x = 42
⇒ x = 14