Question

A reduction of 20% in the price of rice enables a person to buy 3.5kg 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

Answer: (D)

Rs. 5.50

Owing to reduction in price of rice, there is a saving of $20\%$ on $Rs.77$
i.e. $\frac{20}{100}\times 77=Rs.15.4$
With Rs. 15.4, he can purchase 3.5 kg of rice
$\therefore$ Reduced price of 3.5 kg of rice $=Rs.15.4$
$\Rightarrow$ Rreduced price of 1 kg of rice
$=Rs.\frac{15.4}{3.5}=Rs.4.4$

$\therefore$ Original price $=\frac{100}{80}\times 4.4=5.5$