Question

A reduction of 10% in the price of sugar enables housewife to buy 6.2 kg more for Rs. 279. Find and reduced price per kilogram.

• A. Rs. 5
• B. Rs. 4.5
• C. Rs.4.05
• D. None of these

Answer 1

The correct option is B Rs. 4.5

Let original rate = Rs. x per kg
New rate = 90% of
$x=Rs.\left(\frac{90}{100}x\right)$ $=Rs.\frac{9x}{10}$

$OriginalquantityforRs.279=\frac{279}{x}$

New quantity =
$279\times \frac{10}{9x}=\frac{310}{x}\therefore \frac{310}{x}-\frac{279}{x}=6.2\Rightarrow \frac{31}{x}=6.2\Rightarrow x=\frac{31}{6.2}=5\therefore ReducedPrice=\frac{9\times 5}{10}=Rs.4.5perkg$