A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg of rice at

1.	A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg of rice at Rs. 50 per kg and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. H mixed all the three types of rice and sold all the stock at Rs. 62.56 kg. His profit percent in the entire transaction is:1. 8.82. 10.53. 9.24. 12.5
Answer» Correct Answer - Option 1 : 8.8 Given : Rate of Rice of quality 1 = Rs. 55 Quantity = 20 kg Rate of Rice of quality 2 = Rs. 50 Quantity = 25 kg Rate of Rice of quality 3 = Rs. 60 Quantity = 35 kg Money spent on transportation = Rs. 150 Selling price of mixed Rice = Rs. 62.56 Formula used : Profit = Selling price - Cost price Profit% = (profit/cost price) × 100 Solution : Cost price of Rice of quality 1 = 55 × 20 ⇒ Cost price of Rice of quality 1 = 1100 Cost price of Rice of quality 2 = 50 × 25 ⇒ Cost price of Rice of quality 2 = 1250 ⇒ Cost price of Rice of quality 3 = 60 × 35 Cost price of Rice of quality 3 = 2100 ⇒ Total quantity of mixed rice = 20 + 25 + 35 ⇒ Total quantity of mixed rice = 80 kg Final cost price including transportation = 1100 + 1250 + 2100 + 150 ⇒ Final cost price including transportation = 4600 ⇒ Cost price of 1 kg of mixed rice = 4600/80 ⇒ Cost price of 1 kg of mixed rice = 57.5 ⇒ Selling price of 1 kg of mxed rice = 62.56 ⇒ Profit = 62.56 - 57.5 ⇒ Profit = 5.06 ⇒ Profit% = (5.06/57.5) × 100 ⇒ Profit% = 8.8% ∴ His profit percent in the entire transaction is 8.8%

A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg of rice at Rs. 50 per kg and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. H mixed all the three types of rice and sold all the stock at Rs. 62.56 kg. His profit percent in the entire transaction is:1. 8.82. 10.53. 9.24. 12.5

Answer» Correct Answer - Option 1 : 8.8

Given :

Rate of Rice of quality 1 = Rs. 55

Quantity = 20 kg

Rate of Rice of quality 2 = Rs. 50

Quantity = 25 kg

Rate of Rice of quality 3 = Rs. 60

Quantity = 35 kg

Money spent on transportation = Rs. 150

Selling price of mixed Rice = Rs. 62.56

Formula used :

Profit = Selling price - Cost price

Profit% = (profit/cost price) × 100

Solution :

Cost price of Rice of quality 1 = 55 × 20

⇒ Cost price of Rice of quality 1 = 1100

Cost price of Rice of quality 2 = 50 × 25

⇒ Cost price of Rice of quality 2 = 1250

⇒ Cost price of Rice of quality 3 = 60 × 35

Cost price of Rice of quality 3 = 2100

⇒ Total quantity of mixed rice = 20 + 25 + 35

⇒ Total quantity of mixed rice = 80 kg

Final cost price including transportation = 1100 + 1250 + 2100 + 150

⇒ Final cost price including transportation = 4600

⇒ Cost price of 1 kg of mixed rice = 4600/80

⇒ Cost price of 1 kg of mixed rice = 57.5

⇒ Selling price of 1 kg of mxed rice = 62.56

⇒ Profit = 62.56 - 57.5

⇒ Profit = 5.06

⇒ Profit% = (5.06/57.5) × 100

⇒ Profit% = 8.8%

∴ His profit percent in the entire transaction is 8.8%