Question

The price of milk decreases by $20\%$. If a housewife wants to spend the same amount of money, how much $\%$ excess milk can she get?

• A. $16\frac{2}{3}\%$
• B. $25\%$
• C. $20\%$
• D. $50\%$

Answer 1

Answer: (B)

$25\%$

Let the $CP$ of $1litre$ milk $=Rs.X$

Housewife has amount with her $=Rs.X$

Now price of milk decreased by $20\%$

New $CP$ of $1litre$ milk $=80\%$ of $X$

$=\frac{80}{100}\times X$

$=Rs.0.80X$ per litre

amount of Milk she can get $=\frac{X}{0.80X}$ $Litre$

$=\frac{5}{4}$ $Litre$

$\%$ Excess $=\frac{\frac{5}{4}-1}{1}\times 100\%$

$=\frac{\frac{1}{4}}{1}\times 100\%$

$=\frac{1}{4}\times 100\%$

$=25\%$