Alex purchases a car at a discount of 20% from an automobile store and sells it at a profit of 20% for $1,800 HOW
much discount does he get from the store?
Answers
Answer:
375
Step-by-step explanation:
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Answer:
Discount from store is Rs. 375.
Step-by-step explanation:
Given: Alex purchases a car at a discount of 20% and sells it at a profit of 20% for $1,800.
To find the discount he get from store.
Let the original price of car be x.
After discount of 20% = x - 20%x
After selling at profit of 20% we have:
(x - 20%x) + 20%(x - 20%x) = 1800
(x - x/5) + 1/5(x - x/5) = 1800
(5x - x/5) + 1/5(5x - x/5) = 1800
4x/5 + 1/5(4x/5) = 1800
4x/5 + 4x/25 = 1800
(4x × 5/5 × 5) + 4x/25 = 1800
20x/25 + 4x/25 =1800
20x + 4x / 25 = 1800
24x/25 = 1800
24x = 1800 × 25
24x = 45000
x = 1875
So, the original price of the car is Rs. 1875.
Discount he get from wholesaler = 20% of x
= 20/100 × 1875
= 1/5 × 1875
= 375
Therefore, the discount Alex from the wholesaler is Rs 375.
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