Question

A reduction of 20% in the price of rice enables a person to buy 3.5 kg more for Rs. 77. Then the original price per kg is

• A. Rs. 4.00
• B. Rs. 4.50
• C. Rs. 5.00
• D. Rs. 5.50

Answer 1

The correct option is D Rs. 5.50

Let the original price of rice be $Rs.xperkg$.

New price $=\frac{4x}{5}perkg$

According to the question,

$\frac{77}{\frac{4x}{5}}-\frac{77}{x}=3.5$

$\frac{385-308}{4x}=3.5$

$\frac{77}{4x}=3.5$

$x=\frac{77}{14}$

$x=Rs.5.5perkg$

Hence, this is the answer.