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Mathematics

Last year, oranges were available at ₹ 24 per dozen; but this year, they are available at ₹ 50 per score. Find the percentage change in the price of oranges. [1 score = 20]

Percent & Percentage

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Answer

Last year, cost of oranges = ₹ 24 per dozen

Cost of one orange = ₹ 2412\dfrac{24}{12} = ₹ 2

This year, cost of oranges = ₹ 50 per score

Cost of one orange = ₹ 5020\dfrac{50}{20} = ₹ 2.5

Change in price = ₹ (2.5 - 2) = ₹ 0.5

Change in price is positive means price of oranges has increased.

Percentage increase = Change in priceCost of orange last year×100\dfrac{\text{Change in price}}{\text{Cost of orange last year}} \times 100 %

= 0.52×100\dfrac{0.5}{2} \times 100 %

= 502\dfrac{50}{2} %

= 2525 %

Hence, percentage change in the price of orange = 25% increase.

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