The cost price of a dozen mangoes is equal to the selling price of 10 mangoes. The selling price of apples per piece is the cost of a mango (per piece). If the profit % made on selling an apple is half that of selling a mango, then what is the cost (in Rs.) of an apple if the selling price of one mango is Rs. X?
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Answer:
(0.909090....) X
Step-by-step explanation:
Given
C P of one mango = X , Let the S P of Mango = Y
C P of 12 mangoes = S P of 10 mangoes
12 X = 10 Y
WKT
Profit % = ( S P - C P ) / C P * 100
= ( Y/X - 1 ) * 100
= (12/10 - 1 ) * 100
= 20 %
Now the Profit % of Apple is 20% / 2 = 10%
Let the S P of Apple be B and C P be A
Given
B = X
Now
B = 110% (A)
B = 1.1 A
A = B/1.1
A = (0.9090....) X
Hope it Helps
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