Question

Find the S.P. of a TV set whose marked price is Rs.17940 and the discount offered on it is $8% $
A. Rs 17596.80
B. Rs 16504.80
C. Rs 16426.80
D. Rs 16213.80

Answer 1

Hint: We have the marked price and the discount percentage. We can find the amount to be reduced by taking the given percentage of the marked price. Then we can subtract this price from the marked price to get the selling price.

Complete step by step answer:

We have the marked price of Rs 17940.
Let \[M.P. = \,17940\]
 It has a discount of $8% $. So $8% $ of the marked price will be reduced from the marked price.
Let the price to be reduced be, d. It is given by,
$d = M.P. \times 8% $
In substituting the values, we get,
$d = 17940 \times \dfrac{8}{{100}}$
After the calculations, we get,
$d = 1435.20$
This amount must be reduced from the marked price to get the selling price.
$ \Rightarrow S.P. = M.P. - d$
On substituting the values, we get,
$ \Rightarrow S.P. = 17940 - 1435.20$
On simplification we get,
$ \Rightarrow S.P. = 16504.80$
 Thus, the selling price is Rs 16504.80
Therefore, the correct answer is option B.

Note: Alternate method to solve this problem is given by,
We know that $8% $of the marked price will be reduced from the marked price.
Then the selling price will be $92% $ of the marked price.
Therefore, the selling price is given by,
$S.P. = M.P. \times 92% $
In substituting the values, we get,
$ \Rightarrow S.P. = 17940 \times \dfrac{{92}}{{100}}$
After the calculations, we get,
$ \Rightarrow S.P. = 16504.80$
Thus, the selling price is Rs 16504.80