The marked price of an article is Rs. 530. After two successive discounts, it is sold for Rs. 396.44. If the first discount is x% and the second discount is 15%, then what is the value of x?
- A10
- B15
- C12
- D20
Solution & Step-by-step Explanation
Let the price after the first discount of x% be P
1
.
The second discount is 15%, so the selling price is 85% of P
1
.
396.44=P
1
×(1−
100
15
)
396.44=P
1
×0.85
P
1
=
0.85
396.44
=466.4
Now, P
1
is obtained after a discount of x% on the marked price of Rs. 530.
Discount amount=530−466.4=63.6
x=
Marked Price
Discount amount
×100
x=
530
63.6
×100=
530
6360
=12
1
.
The second discount is 15%, so the selling price is 85% of P
1
.
396.44=P
1
×(1−
100
15
)
396.44=P
1
×0.85
P
1
=
0.85
396.44
=466.4
Now, P
1
is obtained after a discount of x% on the marked price of Rs. 530.
Discount amount=530−466.4=63.6
x=
Marked Price
Discount amount
×100
x=
530
63.6
×100=
530
6360
=12