How many kgs of basmati rice costing rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing rs.24 per kg so that he makes a profit of 25% on selling the mixture at rs.40/kg? As the trader makes 25% profit by selling the mixture at rs.40/kg, his cost per kg of the mixture =?
Answers
Given : 25 kgs of ordinary rice costing rs.24 per kg mixed with Rs 42 kg rice to make a profit of 25% on selling the mixture at rs.40/kg
To find : How many kgs of basmati rice costing rs.42/kg mixed and cost per kg of the mixture
Solution:
Let say N kg of Basmati rice costing Rs 42 /kg mixed
Cost of N kg Rice = 42N Rs
Cost of 25 kg Rice at Rs 24 per kg = 25 * 24 = Rs 600
Total Rice = 25 + N kg
Total Cost = 600 + 42N
25 % profit = (25/100)( 600 + 42N)
= 150 + 10.5N Rs
Selling Price = 600 + 42N + 150 + 10.5N
= 750 + 52.5 N Rs
selling the mixture at rs.40/kg
Selling Price = (25 + N) 40
= 1000 + 40N RS
750 + 52.5 N = 1000 + 40N
=> 12.5N = 250
=> N = 20
20 kg of basmati rice costing rs.42/kg Mixed
Total Rice = 25 + 20 = 45 kg
Total Cost = 600 + 42N = 600 + 42*20 = 1440 Rs
Cost price per kg = 1440/45
= 32 Rs per kg
cost per kg of the mixture = Rs 32
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