In what ratio must water be mixed with milk to gain $$16\frac{2}{3}\% $$ on selling the mixture at cost price?
A. 1 : 6
B. 6 : 1
C. 2 : 3
D. 4 : 3
Answer: Option A
Solution(By Examveda Team)
Let C.P. of 1 litre milk be Rs. 1S.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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Comments ( 5 )
Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres
In this case we get the answer just by converting gain to fraction that's the ratio
3/350 came with the formula of CP that is
Cp= (100)÷ {100+(50/3)}
how did 3/350 come
How did 3/350 comes
isn't there any rule except rule of alligation?