A customer paid Rs. 306 for an item after availing successive discounts of 10% and 15%. What is the marked price of the item (in Rs.)?
- A420
- B400
- C384.50
- D331
Solution & Step-by-step Explanation
Let the marked price of the item be Rs. M.
After a discount of 10%, the price becomes 90% of M.
After a subsequent discount of 15%, the price becomes 85% of the new price.
M×
100
90
×
100
85
=306
M×
10
9
×
20
17
=306
M×
200
153
=306
M=
153
306×200
Since 306=153×2:
M=2×200=400
Thus, the marked price of the item is Rs. 400.
After a discount of 10%, the price becomes 90% of M.
After a subsequent discount of 15%, the price becomes 85% of the new price.
M×
100
90
×
100
85
=306
M×
10
9
×
20
17
=306
M×
200
153
=306
M=
153
306×200
Since 306=153×2:
M=2×200=400
Thus, the marked price of the item is Rs. 400.