Question

If the price of milk decreases from ₹ 32 per litre to ₹ 24 per litre then the percentage decrease in price is .

• A. 35 %
• B. 25 %
• C. 15 %

Answer 1

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
$\therefore$ 24 = 32 - x% of 32
$\Rightarrow 24=32-\frac{x}{100}\times 32$
$\Rightarrow x=(32-24)\times \frac{100}{32}$
$\Rightarrow x=8\times \frac{100}{32}$
$\Rightarrow x=\frac{100}{4}=25$
$\therefore$ The percentage decrease in price is 25%

Alternatively,
By formula,
$Newvalue=Initialvalue\times \left(\frac{100-\%decrease}{100}\right)$
Given: New value = ₹ 24 and Initial value = ₹ 32
$\Rightarrow 24=32\times \left(\frac{100-x}{100}\right)$
$\Rightarrow \frac{24}{32}\times 100=100-x$

$\Rightarrow \frac{3}{4}\times 100=100-x$
$\Rightarrow 75=100-x$
$\Rightarrow x=100-75=25$
$\therefore$ The percentage decrease in price is 25%