John paid $900 for a laptop at a discount of 10% at an electronics shop. He signed up as a member of the shop and enjoyed an additional 10% discount on top of the discounted price. What was the total discount John received for buying the laptop?
(1) $190
(2) $180
(3) $100
(4) $90
The initial discount John received for buying the laptop was:
10% of $900 = $90
After becoming a member, John received an additional 10% discount on the discounted price:
10% of ($900 - $90) = $81
Therefore, the total discount John received was:
$90 + $81 = $171
Answer: (2) $180 (This is not one of the answer choices, but it is the closest answer based on the options provided.)
To find the total discount John received for buying the laptop, we need to calculate the discount he received both initially and as a member of the shop.
1. Initially, John received a discount of 10%. This means he paid only 90% of the original price.
Discounted price = Original price - (Original price x Discount percentage)
Discounted price = $900 - ($900 x 10%)
Discounted price = $900 - ($900 x 0.10)
Discounted price = $900 - $90
Discounted price = $810
2. As a member of the shop, John enjoyed an additional 10% discount on the discounted price he already paid.
Discounted price as a member = Discounted price - (Discounted price x Discount percentage)
Discounted price as a member = $810 - ($810 x 10%)
Discounted price as a member = $810 - ($810 x 0.10)
Discounted price as a member = $810 - $81
Discounted price as a member = $729
Now, let's calculate the total discount John received:
Total discount = Original price - Discounted price as a member
Total discount = $900 - $729
Total discount = $171
Therefore, the correct answer is not provided in the options. The total discount John received for buying the laptop is $171.