SOLUTION: A shopkeeper mixes 20L of orange juice with 30L of mango juice. One litre of orange juice costs Rs 70. He sells all the mixture at Rs 95 a litre. He makes a profit of 25 percent. C

Question 896485: A shopkeeper mixes 20L of orange juice with 30L of mango juice. One litre of orange juice costs Rs 70. He sells all the mixture at Rs 95 a litre. He makes a profit of 25 percent. Calculate the cost price of one litre of
mango juice.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Orange Juice: price 70 Rs/L, 20 L available
Mango Juice: h = price, 30 L available
Price for mixture 95 Rs/L
Profit for mixture: 25%.
h = price for 1 Liter Mango Juice
FIND h.

What is the COST for the mixture? Better, what is the base PRICE for the mixture?
c=base price in Rs/L;
.

The profit was of THE COST FOR THE MIXTURE. Symbolized, this is
, the profit in units of Rs.

REVENUE minus cost is profit, and we have a symbolized number just shown, for profit.
Revenue:
Cost:

Solve the profit equation for c; and so the price for the MIXTURE will be known.
Solve , using now known c, for h in the mixture equation.

I started and analyzed this on paper but did not finish solving. Tell me if any trouble.
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