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Seven kilograms of sugar were available for Rs. 84 last year. If this year, nine kilograms of sugar are available for Rs. 135, what is the percentage increase in the price of sugar?

A. 25%
B. 40%
C. 60%
D. 70%

Answer :

Final answer:

The percentage increase in the price of sugar is calculated as 25% by comparing last year's and this year's cost per kilogram of sugar. Therefore, the correct answer is option a) 25%.

Explanation:

To calculate the percentage increase in the price of sugar, we need to first find out the cost per kilogram of sugar for last year and this year, and then compare the prices.

Last year's cost per kilogram:
7 kg for Rs. 84 means 1 kg costs Rs. 84 / 7 = Rs. 12 per kg.

This year's cost per kilogram:
9 kg for Rs. 135 means 1 kg costs Rs. 135 / 9 = Rs. 15 per kg.

Percentage increase in price = [(New price per kg - Old price per kg) / Old price per kg] × 100

Inserting the values gives:
[(Rs. 15 - Rs. 12) / Rs. 12] × 100 = (Rs. 3 / Rs. 12) × 100 = 0.25 × 100 = 25%

The correct answer is a) 25%.

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