Question
The marked price of the washing machine is 30% above its
cost price. The seller offers two successive discounts of 20% and 10%, respectively. If he incurs a loss of Rs. 640, find the price (in rupees) at which he sold the washing machine.Solution
Let the cost price = Rs. x
Marked price = 130% of x = Rs. 1.30x
According to the question,
x - 1.30x × 80% × 90% = 640
x - 1.30x × 0.80 × 0.90 = 640
x - 0.936x = 640
0.064x = 640 ⟹ x = 10000
The required selling price = Rs. 10000 - 640 = Rs. 9360
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