The successive discounts of 40%, 25% and 20%, respectively, on the marked price of a chair, are equal to a single discount of ₹960. The marked price (in ₹) of the chair is:
- A1,600
- B1,800
- C1,500
- D2,400
Solution & Step-by-step Explanation
Let the marked price (MP) of the chair be x.
The multipliers for the remaining prices after each discount are:
After 40% discount: 1−0.40=0.60
After 25% discount: 1−0.25=0.75
After 20% discount: 1−0.20=0.80
The final selling price (SP) is given by:
SP=x×0.60×0.75×0.80
SP=x×
5
3
×
4
3
×
5
4
=x×
25
9
=0.36x
The total discount offered is:
Discount=MP−SP=x−0.36x=0.64x
We are given that this total discount equals ₹960:
0.64x=960
x=
0.64
960
=
64
96000
=1,500
Thus, the marked price of the chair is ₹1,500.
The multipliers for the remaining prices after each discount are:
After 40% discount: 1−0.40=0.60
After 25% discount: 1−0.25=0.75
After 20% discount: 1−0.20=0.80
The final selling price (SP) is given by:
SP=x×0.60×0.75×0.80
SP=x×
5
3
×
4
3
×
5
4
=x×
25
9
=0.36x
The total discount offered is:
Discount=MP−SP=x−0.36x=0.64x
We are given that this total discount equals ₹960:
0.64x=960
x=
0.64
960
=
64
96000
=1,500
Thus, the marked price of the chair is ₹1,500.