Question

The price of a watch is rs. 800. a shopkeeper gives two successive discounts and sells the watch at rs. 612 if the first discount is 100/0, the second discount is_____

O 12%
O 10%
O 20%
O 15%

Answer 1

To find the second discount, the first 10% discount is applied to the original price of Rs. 800, resulting in Rs. 720. The second discount is then calculated based on the final sale price of Rs. 612, yielding a second discount of 15%. The second discount is 15%.

Step-by-step explanation:

The subject of the question is to calculate the percentage of the second discount given by the shopkeeper on the watch after a first discount of 10%. The original price of the watch is listed as Rs. 800 and the price after both discounts is Rs. 612. We can determine the price after the first discount by applying a 10% reduction to the original price:

Price after first discount = Original Price - (First discount % \times Original Price)
= Rs. 800 - (10% \times Rs. 800)
= Rs. 800 - Rs. 80
= Rs. 720

Now, we need to determine the second discount percentage, given that the watch is finally sold for Rs. 612. We do this by comparing the price after the first discount to the final sale price:

Second discount % = ((Price after first discount - Final sale price) / Price after first discount) \times 100
= ((Rs. 720 - Rs. 612) / Rs. 720) \times 100
= (Rs. 108 / Rs. 720) \times 100
= 15%
The second discount is 15%.