Question

A merchant buys 20 kg wheat at rs.30/kg and 40 kg wheat at rs.25/kg and mixed them. he sold one-third of mixture at rs.26, what should be the cost/kg of the remaining mixture, so as to make a profit of 25% on the whole

Answer 1

He should sold the remaining at 37

Answer 2

Answer:

Cost of remaining mixture should be Rs. 37 per kg to make 25% profit.

Step-by-step explanation:

Weight of type 1 wheat = 20 kg

Cost of type 1 wheat = 20 × 30 = Rs. 600

Weight of type 2 wheat = 40 kg

Cost of type 2 wheat = 40 × 25 = Rs. 1000

Total Cost of the Mixture = 1000 + 600 = Rs. 1600

Total Weight of the Mixture = 40 + 20 = 60 kg

Weight of mixture which he sold on Rs. 26 per kg = 60/3 = 20 kg

Profit amount on whole transaction  = 25 % of 1600 = 25/100 × 1600 = Rs. 400

So. The total Selling Price of Mixture = 1600 + 400 = Rs. 2000

Amount he earn by selling 20 kg of mixture at Rs. 26 = 26 × 20 = Rs. 520

Amount left to make 25% profit = 2000 - 520 = Rs.1480

So cost of a kg of left out mixture = 1480/40 = Rs. 37 per kg

Therefore, Cost of remaining mixture should be Rs. 37 per kg to make 25% profit.