Question

Mr. Praveen sells 20 kg of rice at Rs. 400. A customer asks 28% discount and he agrees to it but instead of 1 kg he gives 16% less rice. What is the effective discount that the customer gets?

Answer 1

Find the Selling Price for 1 kg of rice:

20 kg = Rs 400

1 kg = 400 ÷ 20 = Rs 20

Find the amount of rice the customer got:

16% of 1 kg = 0.16 x 1 = 0.16 kg

Amount customer got = 1 kg - 0.16 kg = 0.84 kg

Find the price of 1 kg the customer got:

28% discount = 0.28 x 20 = Rs 5.60

Discounted price = 20 - 5.6 = Rs 14.40

Effective price that customer bought at:

0.84 kg = Rs 14.40

1 kg = 14.40 ÷ 0.84 = Rs 17.14

Find the actual discount:

Discount = 20 - 17.14 = Rs 2.86

Discount percentage = 2.86 ÷ 20 x 100 = 14.29%

Answer: The customer effectively got 14.29% discount

Answer 2

Let the M P = Re. 1 per kg then Originally: Weight = 100 kg, M P = Rs. 100, Rate = 1 Rs / kg.

Then Weight = 96 kg, M P = Rs.96,

Rate = 80 / S P = 80/96,

Actual discount = 1- 80 / 96 = 16 / 96 % discount = [(16 / 96) ]x 100 = 16.66 %