Question
The cost price of item ‘Y’ is 75% of item ‘X’. If
item ‘X’ is sold at a profit of 25% and item ‘Y’ at a loss of 20%, the total profit made is Rs. 60. Find the cost price of item ‘X’.Solution
ATQ,
Let the cost price of item ‘X’ = Rs. ‘100z’
Then, cost price of item ‘Y’ = 100z × 0.75 = Rs. ‘75z’
Selling price of item ‘X’ = 100z × 1.25 = Rs. ‘125z’
Selling price of item ‘Y’ = 75z × 0.8 = Rs. ‘60z’
According to the question,
(125z + 60z) – (100z + 75z) = 60
Or, 185z – 175z = 60
Or, 10z = 60
Or, z = 60/10 = 6
So, cost price of item ‘X’ = 100z = 100 × 6 = Rs. 600
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