A bakery used to sell pastries at a price of Rs. 48 per piece. In the next month, the bakery reduced the price of the pastries. Due to this, the sale of the pastries increased in the ratio 5 ∶ 8. If the earning of the bakery from pastries increased in the ratio 4 ∶ 5, by how much is the price of the pastry reduced?

Question

Question

Answer 1

Let the new price of the pastry be Rs. ‘x’

⇒ The ratio of old to the new price of pastry = 48 ∶ x

Now,

⇒ The ratio of earning of bakery = Ratio of sale of pastries × Ratio of the price of pastries

⇒ 4 ∶ 5 = 5 ∶ 8 × 48 ∶ x

∵ The compound ratio of ratios a ∶ b and c ∶ d is ac ∶ bd

⇒ 4/5 = 30/x

⇒ x = 30 × 5/4 = Rs. 37.50

∴ Price of the pastry is reduced by = 48 - 37.50 = Rs. 10.50