Question:
A grocer mixes coffee powder of 2 types, one of which is priced at Rs.\ 60 and the other at Rs.\ 90. What should be the ratio of combining the two, to sell the blended mix coffee powder of the two types at Rs.\ 80?
A grocer mixes coffee powder of 2 types, one of which is priced at Rs.\ 60 and the other at Rs.\ 90. What should be the ratio of combining the two, to sell the blended mix coffee powder of the two types at Rs.\ 80?
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Alligation rule: to obtain a target mean price $M$ from prices $P_1$ and $P_2$, mix in the ratio $(P_2-M):(M-P_1)$.
Updated On: Aug 13, 2025
- 2:1
- 2:3
- 1:2
- 3:2
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Use alligation. For a mean price of Rs.\ 80 from items priced at Rs.\ 60 and Rs.\ 90, the mixing ratio is inverse of deviations from the mean:
\[
\text{Ratio} = (90-80) : (80-60) = 10 : 20 = 1 : 2.
\]
So, coffee at Rs.\ 60 : coffee at Rs.\ 90 $= 1:2$.
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