Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
A. 4 : 3
B. 3 : 4
C. 5 : 6
D. 7 : 9
Answer: Option D
Solution(By Examveda Team)
Let the Cost price of spirit be Rs. 1 per litreSpirit in 1 litre mixture in A = $$\frac{{5}}{{7}}$$ litre;
Cost price of 1 litre mixture in A = Rs. $$\frac{{5}}{{7}}$$
Spirit in 1 litre mixture of B = $$\frac{{7}}{{13}}$$ litre;
Cost price of 1 litre mixture in B = Rs. $$\frac{{7}}{{13}}$$
Spirit in 1 litre mixture of C = $$\frac{{8}}{{13}}$$ litre;
Mean price = Rs. $$\frac{{8}}{{13}}$$
By the rule of alligation, we have:
∴ Request ratio = $$\frac{{1}}{{13}}$$ : $$\frac{{9}}{{91}}$$ = 7 : 9
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
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