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In what ratio must water be mixed with milk to gain $$16\frac{2}{3}\% $$ on selling the mixture at cost price?
Answer & Solution
Correct Answer:
Option
A
Let C.P. of 1 litre milk be Rs. 1
S.P. of 1 litre of mixture = Rs. 1, Gain = $$\frac{50}{3}$$ %
∴ C.P. of 1 litre of mixture = $$ {100 \times \frac{3}{{350}} \times 1} $$ = $$\frac{6}{7}$$
BY the rule of alligation, we have:
∴ Ration of water and milk = $$\frac{{1}}{{7}}$$ : $$\frac{{6}}{{7}}$$ = 1 : 6
S.P. of 1 litre of mixture = Rs. 1, Gain = $$\frac{50}{3}$$ %
∴ C.P. of 1 litre of mixture = $$ {100 \times \frac{3}{{350}} \times 1} $$ = $$\frac{6}{7}$$
BY the rule of alligation, we have:
∴ Ration of water and milk = $$\frac{{1}}{{7}}$$ : $$\frac{{6}}{{7}}$$ = 1 : 6
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LoginCp= (100)÷ {100+(50/3)}