1.

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%

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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