Question

A grocer purchased 80 kg of rice at rs.13.50 per kg and mixed it with 120 kg rice at rs.16 per kg. at what rate per kg should he sell the mixture to gain 16%?

Answer 1

Given: A grocer purchased 80 kg of rice at rs.13.50 per kg and mixed it with 120 kg rice at rs.16 per kg.

To find: At what rate per kg should he sell the mixture to gain 16%?

Solution:

• Now we have given: grocer purchased 80 kg of rice at rs.13.50 per kg

• So, cost price for 80 kg of rice

                      = 80 × 13.5

                      = Rs. 1080

• 120 kg rice at rs.16 per kg:

• So, cost price for 120 kg of rice

                      = 120 × 16

                      = Rs. 1920

• So the total cost price of rice will be:

                      = 1080 + 1920

                      = Rs. 3000

• Now the selling price of rice is:

                      ((100 + gain%)/100) x C.P.

• Putting the values in the formula, we get:

                      Selling Price = (116/100) × 3000

                      Selling Price = 116 × 30

                      Selling Price of rice is Rs. 3480.

• Now the total number of Kg's of rice bought is 200 Kg.

• So rate of 1 Kg of rice is:

                      S.P./200 = 3480/200 = Rs. 34.8 / 2 = 17.4

Answer:

             So, rate of 1 Kg of rice Rs. 17.4