Question
Download Solution PDFIn what ratio must a grocer mix two varieties of pulses costing Rs. 60 and Rs. 75 per kg, respectively, so as to get a mixture worth Rs. 65 per kg?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of first variety of pulses = Rs. 60 per kg
Cost of second variety of pulses = Rs. 75 per kg
Cost of the mixture = Rs. 65 per kg
Concept:
To find the ratio in which two varieties should be mixed to get a mixture of a given price, we use the rule of alligation.
Formula Used:
If two ingredients are mixed, their ratio is given by:
Ratio = (Price of second ingredient - Price of mixture) : (Price of mixture - Price of first ingredient)
Calculation:
We have,
⇒ Price of first variety = Rs. 60 per kg
⇒ Price of second variety = Rs. 75 per kg
⇒ Price of mixture = Rs. 65 per kg
⇒ Ratio = (75 - 65) : (65 - 60)
⇒ Ratio = 10 : 5
⇒ Ratio = 2 : 1
∴ The grocer must mix the pulses in the ratio 2:1.
Last updated on May 28, 2025
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