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Question : The price of rice is decreased by 25% and therefore a person can purchase 30 kg more rice in the same expenditure. If the expenditure is INR 5,400, then what was the original price of rice per kg?

Option 1: INR 90 per kg

Option 2: INR 60 per kg

Option 3: INR 75 per kg

Option 4: INR 50 per kg


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 6th Jan, 2024

Correct Answer: INR 60 per kg


Solution : Given: The price of rice is decreased by 25% and therefore a person can purchase 30 kg more rice in the same expenditure.
The expenditure is INR 5,400.
We know the formula, Expenditure = Price × Quantity.
Let $x$ and $y$ be the previous price and amount of rice purchased, respectively.
$xy=0.75x\times(y+30)$
⇒ $xy=0.75xy+22.5x$
⇒ $0.25xy=22.5x$
⇒ $y=90$ kg
The original price of rice per kg = $\frac{5400}{90}$ = INR 60 per kg.
Hence, the correct answer is INR 60 per kg.

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