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

User Icon for Bot Bot answered
1 year ago

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.)

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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.