The marked price of a commodity was given as ₹425 per kg. After two successive discounts of 5% and y%, respectively, the retailer purchased it for ₹323 per kg. What was the value of y?
- A19
- B20
- C24
- D18
Solution & Step-by-step Explanation
Given:
Marked Price (MP) = ₹425
First discount = 5%
Selling Price (SP) = ₹323
Price after the first discount:
Price
1
=425×(1−
100
5
)=425×
100
95
=403.75
Now, a second discount of y% is applied to ₹403.75 to reach the final price of ₹323:
Discount amount=403.75−323=80.75
Discount percentage y:
y=
403.75
80.75
×100
y=
403.75
8075
=20
Thus, the value of y is 20.
Marked Price (MP) = ₹425
First discount = 5%
Selling Price (SP) = ₹323
Price after the first discount:
Price
1
=425×(1−
100
5
)=425×
100
95
=403.75
Now, a second discount of y% is applied to ₹403.75 to reach the final price of ₹323:
Discount amount=403.75−323=80.75
Discount percentage y:
y=
403.75
80.75
×100
y=
403.75
8075
=20
Thus, the value of y is 20.