Question
The marked price of the washing machine is 20% above its
cost price. The seller offers two successive discounts of 10% and 25%, respectively. If he incurs a loss of Rs. 1900, find the price (in rupees) at which he sold the washing machine.Solution
Let the cost price = Rs. x
Marked price = 120% of x = Rs. 1.20x
According to the question,
x - 1.20x × 90% × 75% = 1900
x - 1.20x × 0.90 × 0.75 = 1900
x - 0.81x = 1900
0.19x = 1900 ⟹ x = 10000
The required selling price = Rs. 10000 - 1900 = Rs. 8100
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