Question
The marked price of two items, 'S' and 'R,' is
identical. Item 'S' is sold with a single discount of 18%, while item 'R' is sold with two successive discounts of 10% and 20%. The difference in the selling prices of the two items is ₹400. Additionally, the combined cost price of both items is ₹4000. Determine whether there is an overall profit or loss from selling both items and by how much.Solution
Let the marked price of both the items be Rs. 100a So, selling price of item 'S' = 100a X 0.82 = Rs. 82a Also, selling price of item 'R' = 100a X 0.9 X 0.8 = Rs. 72a ATQ, (82a - 72a) = 400 Or, 10a = 400 So, 'a' = 40 So, total selling price = Rs. (82a + 72a) = Rs. 154a = Rs. 154 X 40 = Rs. 6160 Therefore, overall profit on selling both items = 6160 - 4000 = Rs. 2160
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