Question

The question is- A grocer purchased 200kg of rice at rs25 per kg. He sold 80kg of at a gain of 10% and 40kg at a loss of 4%. At what rate per kg should he sell the remainder to gain 8% on his total invesment??

Answer 1

cost prise = 200×25
=5000rs.
total gain %=8%
gain = 5000×8/100
=400rs.

cost price of 80 kg = 80×25
=2000rs.
gain %=10%
gain = 2000×10/100
=200rs.
cost prise of 40 kg =40×25
=1000rs.
loss %=4%
loss =1000×4/100
=40 RS.

total profit =200-40
=160
profit needed to make total of 8% profit = 400-160
=240rs.

cost prise of rest rice = 25×(200-80-40)
=25×80
=2000rs.

profit = gain %/100×cp
240 = x/100×2000
240=20x
x=12%

Answer 2

A grocery sold 80kg at a gain of 10% means profit was 200 rupees and on 40kg at a loss of 4%means loss was 40rupees.