Question

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%?​

Answer 1

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: