Question

A shopkeeper normally allows a discount of 10% on the marked price of each article. During a sale season, he decides
to give two more discounts, the first being at a rate of 50% of the original and the second at a rate of 40% of the first.
What is the percentage rate of the equivalent single discount (correct up to two decimal places)?​

Answer 1

Answer:

73%

Step-by-step explanation:

Let the market price of each article is x.

Then after 10% discount, the price becomes x[1-(10/100)] = 0.9x

Now, if 50% discount is given on this price then the after discount price becomes 0.9x[1-(50/100)] =0.45x.

If again 40% more discount is given then the final price becomes

0.45x[1-(40/100)]

=0.45(0.6)x

=0.27x

Hence, the total discount become (x-0.27x) =0.73x and the total equivalent percentage of discount becomes (0.73x/x)100% =73% (Answer)

Answer 2

Answer:

Step-by-step explanation:

Let the marked price be Rs 100

Discount = 10%

S.P = 90

Again he decides to give two more discount.

1st discount = 50% of 10 = 5% and 2nd discount = 40% of 5 = 2%

S.P =90*95/100*98/100=83.79

So, percentage rate of the equivalent single discount = 100 - 83.79 = 16.21%