In what ratio should freely available water be mixed with wine worth Rs.100 per liter, so that after selling the
mixture at Rs.80 per liter, the profit will be 20%?
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Answer:
The selling price of wine is Rs.80 per litre, and the profit (%) = 20%
SP=80
P%=20
CP=?
P% = 100*(SP-CP)/CP
= 100*(SP/CP - 1)
20 = 100*(80/CP - 1)
80/CP - 1 = 0.20
80/CP = 1.20
CP = 80/1.20 = 66.66 (Rs. per litre)
His cost price of wine should be Rs.66.66 per litre if he needs to make a profit of 20%
Now, in this amount (Rs.66.66) he will get 2/3 litre of wine. To make this one litre, he will need to add 1/3 litre of water (which is free).
Hence, he will need to mix water to wine in the ratio of 1:2. In other words, in this mixture, there will be 1/3 part water and 2/3 part wine.
Step-by-step explanation:
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