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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:

  1. A
    1,600
  2. B
    1,800
  3. C
    1,500
  4. D
    2,400

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.

Practice this question

Try it yourself before checking the explanation above.

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:
A
1,600
B
1,800
C
1,500
D
2,400

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