Question
Find the cost price of the digital watch for the
shopkeeper if he initially marked it at 80% above the cost price and later offered two successive discounts of 15% and 20%. After these discounts, 'X' spent Rs. 164 on repairing the digital watch and then sold it to 'Y' for Rs. 2400, resulting in a 20% profit for X. Determine the original cost price of the digital watch for the shopkeeper.Solution
We can say that cost price of the digital watch for shopkeeper be Rs.'100a' So, (1.8 × 0.85 × 0.80 × 100a) = (2400/1.2) – 164 = 1836 122.4a = 1836 a = 15 So, cost price of the digital watch for shopkeeper = Rs.1500
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