Question 9
How many kg of rice at Rs 54 per kg must be mixed with 30 kg of rice at Rs 40 per kg, so that on selling the mixture at Rs 48.4 per kg, there will be a profit of 10%?
Solution
Let $$x$$ kg of rice at Rs 54 per kg must be mixed.
Selling price of final mixture = Rs. 48.4/kg at 10% profit
=> Cost price of final mixture = $$\frac{48.4}{(100+10)}\times100=Rs.$$ $$44$$
According to ques,
=> $$(54\times x)+(30\times40)=44\times(x+30)$$
=> $$54x+1200=44x+1320$$
=> $$54x-44x=1320-1200$$
=> $$10x=120$$
=> $$x=\frac{120}{10}=12$$ kg
=> Ans - (D)
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