The list price of an article is ₹ 80. A customer pays ₹ 30 for it. He was given 2 successive discounts, one of them being 50%. What was the other discount?
- A20%
- B12.50%
- C30%
- D25%
Solution & Step-by-step Explanation
Let the list price (Marked Price) of the article be MP= ₹ 80.
The customer final price (Selling Price) is SP= ₹ 30.
First discount is 50%.
Price after the first discount:
Price
1
=80−(50% of 80)=80−40=₹ 40
Let the second successive discount percentage be x%.
The customer pays ₹ 30 after this second discount is applied on ₹ 40:
Price
1
−(x% of Price
1
)=30
40−(
100
x
×40)=30
40−30=
100
40x
10 = \frac{2x}{5}}
2x=50⟹x=25%
So, the other discount was 25%.
The customer final price (Selling Price) is SP= ₹ 30.
First discount is 50%.
Price after the first discount:
Price
1
=80−(50% of 80)=80−40=₹ 40
Let the second successive discount percentage be x%.
The customer pays ₹ 30 after this second discount is applied on ₹ 40:
Price
1
−(x% of Price
1
)=30
40−(
100
x
×40)=30
40−30=
100
40x
10 = \frac{2x}{5}}
2x=50⟹x=25%
So, the other discount was 25%.