Question : In a showroom, the price of a washing machine is Rs. 65,000. The customer gets a cash discount of Rs. 2,000 and gets a scratch card promising a percentage discount of 10% to 15%. Determine the difference between the least and the maximum selling prices of the washing machine.
Option 1: Rs. 3,150
Option 2: Rs. 3,570
Option 3: Rs. 3,200
Option 4: Rs. 3,650
Correct Answer: Rs. 3,150
Solution :
Here, the price of a washing machine is Rs. 65,000 and the discount is Rs. 2,000.
Price of washing machine after cash discount = Rs. (65,000 – 2,000) = Rs. 63,000
Now, a percentage discount of 10% to 15% is given.
We know, Selling price = $\frac{100-\text{Discount}\ \%}{100}×$ cost price
Maximum selling price of washing machine = $63000 \times \frac{90}{100}$ = Rs. 56,700
Least selling price of washing machine = $63000 \times \frac{85}{100}$ = Rs. 53,550
$\therefore$ Difference = Rs. 56,700 – Rs. 53,550 = Rs. 3,150
Hence, the correct answer is Rs. 3,150.
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