Question

A shop gave different discounts to different customers. Libby paid $600 for a watch at a discount of 20%. However, Scott paid $630 for the same watch. How many percent discount was given to Scott?

Answer 1

Answer: Let x be the percentage discount given to Scott. Then we can write:

Discounted price for Libby = Original price - 20% of the original price

Discounted price for Scott = Original price - x% of the original price

We know that Libby paid $600 and Scott paid $630 for the same watch, so we can set up the following equation:

Original price - 20% of original price = $600

Original price - x% of original price = $630

Simplifying each equation, we get:

0.8 * Original price = $600

(1 - x/100) * Original price = $630

Dividing the second equation by the first, we get:

(1 - x/100) / 0.8 = 630/600

Simplifying the right-hand side, we get:

(1 - x/100) / 0.8 = 21/20

Multiplying both sides by 0.8, we get:

1 - x/100 = (21/20) * 0.8

Simplifying the right-hand side, we get:

1 - x/100 = 0.84

Subtracting 1 from both sides, we get:

-x/100 = -0.16

Multiplying both sides by -100, we get:

x = 16

Therefore, Scott was given a 16% discount on the original price of the watch.

Explanation: