Question
The combined cost price of a TV and a wall clock
averages Rs. 4,825. The TV is marked up by 35% above its cost price but sold after a discount of Rs. 180. Meanwhile, the wall clock is sold at a 26% loss. The total profit from both transactions is Rs. 2,435. Determine the cost price of the TV.Solution
Sum of cost price of the T.V. and the wall clock = 4825 X 2 = Rs. 9,650 Let the cost price of the T.V. = Rs. '100x' Then, cost price of the wall clock = Rs. (9650 - 100x) Selling price of the T.V. = 100x 1.35 - 180 = Rs. (135x - 180) Selling price of the wall clock = (9650 - 100x) X 0.74 = Rs. (7141 - 74x) According to the question, 7141 - 74x + (135x - 180) = 9650 + 2435 Or, 61x + 6961 = 12085 So, x = 5124 ÷ 61 = 84 So, cost price of the T.V. = 84 X 100 = Rs. 8,400
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