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

Answer :

Final answer:

The percentage increase in the price of sugar is found to be 25% by comparing the cost per kilogram from last year to this year.

Explanation:

To calculate the percentage increase in the price of sugar, we first need to determine the price per kilogram for each year. Last year, seven kilograms of sugar cost 84 rs, so the price per kilogram was 84 rs ÷ 7 kg, which equals 12 rs/kg. This year, nine kilograms of sugar cost 135 rs, so the price per kilogram is 135 rs ÷ 9 kg, which equals 15 rs/kg.

Next, we find the percentage increase by taking the difference in price per kilogram between the two years, dividing it by the initial price per kilogram, and then multiplying by 100 to get a percentage. So, the increase is (15 rs/kg - 12 rs/kg) which equals 3 rs/kg. The percentage increase is then (3 rs/kg ÷ 12 rs/kg) × 100, which equals 25%.

Therefore, the percentage increase in the price of sugar from last year to this year is 25%.

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