A merchant sold 500kg of rice at a loss of 7%. If the cost of rice is ₹110per kg, find his loss and the selling price of the rice.
Answers
Answer:
Total CP of Rice =200×1.25= Rs. 250
Total CP of Wheat =400×0.75= Rs. 300
Total CP of Jawar =300×0.5= Rs. 150
Total cost =250+300+150= Rs. 700
CP +25% profit =700+25% of 700= Rs. 875
He sells 100 kg rice at 25% loss.
SP of 100 kg rice =125−25% of 125=125−
100
25
×125=93.75.
SP of 100 kg wheat=75+25% of 75=75+
100
25
×75=93.75.
SP of 100 kg Jawar =50+30% of 50=50+
100
30
×50=65.
Now, he mixes, 100 kg rice, 300 kg wheat and 200 kg jawar ,
Total mixture = 100+300+200=600kg
He sells
3
1
mixture i.e. 200 kg of mixture at price 1 rupee per kg.
So, SP =200
Remaining Mixture =400 kg
Till now SP=93.75+93.75+65+200=Rs.452.5
Now, he needs, 875−452.5=Rs.422.5 to get 25% profit.
So, selling price of remaining mixture =
400
422.5
= Rs. 1.06.