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. 2460, resulting in a 20% profit for Shopkeeper. Determine the original cost price for the shopkeeper.
We can say that the cost price of the digital watch for a shopkeeper is Rs.'100a.' So, (1.8 × 0.85 × 0.80 × 100a) = (2460/1.2) – 164 = 1886 122.4a = 1886 a = 15.4 So, the cost price of the digital watch for a shopkeeper = is Rs.1540.
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