Question

Find the rate of discount being given on a shirt whose selling price is Rs1092 after deduction of a discount of Rs208 on its marked price.
A. 13%
B. 16%
C. 18%
D. 20%

Answer 1

Hint: To solve this type of problem first we have to know the formula for discount % and then finding the cost price from the given values and substituting in the formula gives us the final solution.

Complete step-by-step answer:
$$discount\mathrm{\%}={\displaystyle \frac{CP-SP}{CP}}\times 100$$
The given discount on shirts is 208 Rs.
The selling price is Rs. 1092.
SP = 1092 Rs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)
Now we have to find the cost price,
Cost price = Selling Price + Discount
$$CP=1092+208$$
$$CP=1300$$Rs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
Discount % formula is:
$$discount\mathrm{\%}={\displaystyle \frac{CP-SP}{CP}}\times 100$$ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (a)
Now substituting the values of (1) and (2) in (a) we get,
$$discount\mathrm{\%}={\displaystyle \frac{1300-1092}{1300}}\times 100$$
$$discount\mathrm{\%}={\displaystyle \frac{208}{1300}}\times 100$$
$$discount\mathrm{\%}=0.16\times 100$$
$$discount\mathrm{\%}=16\mathrm{\%}$$
Therefore the answer is Option B.

Note: Discount is the amount that is reduced on an object. So we can say cost price is equal to addition of selling price and discount. This is a direct problem which can be solved easily by knowing the formula. Take care while doing calculations.