Question

# If the price of milk decreases from ₹ 32 per litre to ₹ 24 per litre then the percentage decrease in price is .35 %25 %15 %

Solution

## The correct option is B 25 %Let the percentage decrease be x% Given: initial price = ₹ 32 and final price = ₹ 24 Final price = initial price - x% of initial price ∴ 24 = 32 - x% of 32 ⇒24=32−x100×32 ⇒x=(32−24)×10032 ⇒x=8×10032 ⇒x=1004=25 ∴ The percentage decrease in price is 25% Alternatively, By formula, New value=Initial value×(100−% decrease100) Given: New value = ₹ 24 and Initial value = ₹ 32 ⇒24=32×(100−x100) ⇒2432×100=100−x ⇒34×100=100−x ⇒75=100−x ⇒x=100−75=25 ∴ The percentage decrease in price is 25%

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