An item marked at ₹3,550 is offered at k% discount for ₹3,124. If the discount offered is reduced to (k−4)%, then at what price will the item be available to customers?
- A₹3,249
- B₹3,262
- C₹3,266
- D₹3,250
Solution & Step-by-step Explanation
Given:
Marked Price (MP)=3550
Selling Price (SP)=3124
Discount amount=3550−3124=426
Let's find the initial discount percentage k:
k=
MP
Discount
×100=
3550
426
×100
k=
355
4260
=12%
The new discount percentage is reduced to (k−4)%:
New Discount=12%−4%=8%
The new selling price at an 8% discount is:
New SP=MP×(1−
100
8
)=3550×
100
92
New SP=35.5×92=3266
Marked Price (MP)=3550
Selling Price (SP)=3124
Discount amount=3550−3124=426
Let's find the initial discount percentage k:
k=
MP
Discount
×100=
3550
426
×100
k=
355
4260
=12%
The new discount percentage is reduced to (k−4)%:
New Discount=12%−4%=8%
The new selling price at an 8% discount is:
New SP=MP×(1−
100
8
)=3550×
100
92
New SP=35.5×92=3266