The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Question
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Solution
Step 1: The customer was given two successive discounts on the list price of the article. One of them is 10%. So, the price of the article after the first discount of 10% would be 90% of the list price.
So, Price after first discount = 90/100 * 65 = Rs. 58.5
Step 2: The customer pays Rs.56.16 for the article after two successive discounts. This means the second discount is given on the price of Rs.58.5 (price after the first discount).
Let's assume the second discount percentage is x.
So, Price after second discount = 100 - x % of Rs.58.5
Step 3: We know that the price after the second discount is Rs.56.16. So, we can set up the equation and solve for x.
56.16 = (100 - x)/100 * 58.5
Solving this equation for x gives us the second discount percentage.
x = 100 - (56.16 * 100 / 58.5) = 4%
So, the other discount is 4%.
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