Question
The marked price of the washing machine is 60% above its
cost price. The seller offers two successive discounts of 10% and 10%, respectively. If he makes a profit of Rs. 2960, find the price (in rupees) at which he sold the washing machine.Solution
Let the cost price = Rs. x
Marked price = 160% of x = Rs. 1.60x
According to the question,
1.60x × 90% × 90% - x = 2960
1.60x × 0.90 × 0.90 - x = 2960
1.296x - x = 2960
0.296x = 2960 ⟹ x = 10000
The required selling price = Rs. 10000 + 2960 = Rs. 12960
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