A bakery used to sell pastries at a price of rupees 48 per piece . in 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 ?
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Answer:
price of the pastry reduced by 10.5 Rs
Step-by-step explanation:
A bakery used to sell pastries at a price of rupees 48 per piece
Let say Number of Pastries old = 5P
Amount of Sale = 5P * 48 = 240P Rs
sale of the pastries increased in the ratio 5:8
=> Now Pastries sold = 8P
earning of the bakery from pastries increased in the ratio 4:5
New Earning/Old earning = 5/4
=> New Earning = 240P * 5/4 = 300P Rs
New Pastry Price = 300P/8P = 75/2
Reduction in Price = 48 - 75/2 = 21/2 Rs = 10.5 Rs
% decrease = (21/2)/48 * 100 = 21.9 %
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