Question : A reduction of 20% in the price of rice enables a customer to purchase 12.5 Kg more for Rs. 800. The original price of rice (per Kg) is
Option 1: Rs. 14
Option 2: Rs. 16
Option 3: Rs. 12
Option 4: Rs. 15
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Correct Answer: Rs. 16
Solution :
Let the original price of rice be $x$ per kg.
Reduction = 20%
New price is 80% of $x$ = $\frac{80}{100}x$ = $\frac{4}{5}x$
According to the question:
$\frac{800}{\frac{4}{5}x}$–$\frac{800}{x}$ = 12.5
⇒ $\frac{1000}{x}$–$\frac{800}{x}$ = 12.5
⇒ $\frac{1000-800}{x}$ = 12.5
⇒ $\frac{200}{12.5}$ = $x$
= 16
Hence, the correct answer is Rs. 16.
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