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Due to the inflation of 25% in the prices of apples Rohit decides to increase his spending by only 10%. Find the reduction made by him in the quantity he consumed.1). 8%2). 12%3). 10%4). 14% |
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Answer» Let the initial price of the apple per kg be x And the initial quantity Rohit purchased be y ⇒ His TOTAL EXPENDITURE will be x × y ⇒ Due to inflation new price = x + 25% of x ⇒ x + 0.25x ⇒ 1.25x ⇒ New expenditure = x × y + 10% of x × y ⇒ 1.1 x × y Let Q be the new quantity of apples ⇒ 1.25x × q = 1.1 x × y ⇒ q = 0.88y ⇒ Decrease in quantity = y – 0.88y ⇒ 0.12y ⇒ PERCENTAGE decrease in quantity = (0.12y/y) × 100 ⇒ 12% ∴ Decrease in quantity is 12% |
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