After getting two successive discounts, Seema got a shirt at Rs. 153, for which the marked price was Rs. 200. If the second discount was 15%, the first discount was:
- A20%
- B25%
- C10%
- D15%
Solution & Step-by-step Explanation
Let the first discount percentage be d%.
The Marked Price (MP) is Rs. 200.
After the first discount, the price becomes:
Price
1
=200×(1−
100
d
)
The second discount is 15%, so the final selling price is:
Final Price=Price
1
×(100%−15%)=Price
1
×0.85
Given that the final price is Rs. 153:
200×(1−
100
d
)×0.85=153
170×(1−
100
d
)=153
1−
100
d
=
170
153
1−
100
d
=0.9
100
d
=1−0.9=0.1
d=10%
The Marked Price (MP) is Rs. 200.
After the first discount, the price becomes:
Price
1
=200×(1−
100
d
)
The second discount is 15%, so the final selling price is:
Final Price=Price
1
×(100%−15%)=Price
1
×0.85
Given that the final price is Rs. 153:
200×(1−
100
d
)×0.85=153
170×(1−
100
d
)=153
1−
100
d
=
170
153
1−
100
d
=0.9
100
d
=1−0.9=0.1
d=10%