Question
A merchant sells two items, 'X' and 'Y'. The cost price
ratio of item 'X' to item 'Y' is '3:5'. The profit earned on selling item 'X' is 35%, while on item 'Y', it is 24%. If the combined selling price of item 'X' and item 'Y' amounts to Rs. 16,400, determine the total profit earned from selling both items.Solution
ATQ, Let the cost price of item 'X' and item 'Y' be, Rs. '300a' and Rs. '500a', respectively. ATQ, Sum of selling price of item 'X' and item 'Y' = (1.35 × 300a) + (1.24 × 500a) = 16400 Or, 405a + 620a = 16400 So, a = (16400/1025) = 16 Sum of cost price of item 'X' and item 'Y' = 300a + 500a = Rs. '800a' = 800 × 16 = Rs. 12,800 Sum of profit received on selling item 'X' and 'Y' = 16400 - 12800 = Rs.3,600
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