Question
Download Solution PDFIn what ratio must a shopkeeper mix two varieties of rice costing ₹75 and ₹80 per kg, respectively, so as to get a mixture worth ₹76.5 per kg?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of first variety of rice = ₹75 per kg
Cost of second variety of rice = ₹80 per kg
Cost of mixture = ₹76.5 per kg
Formula Used:
Alligation Rule: If two ingredients are mixed, then the ratio of the quantities of the two ingredients is given by:
Ratio = (C2 - Cm) : (Cm - C1)
where C1 is the cost of the first ingredient, C2 is the cost of the second ingredient, and Cm is the cost of the mixture.
Calculation:
Here,
C1 = ₹75
C2 = ₹80
Cm = ₹76.5
Using the Alligation Rule:
Ratio = (80 - 76.5) : (76.5 - 75)
⇒ Ratio = 3.5 : 1.5
⇒ Ratio = 7 : 3
The ratio in which the shopkeeper must mix the two varieties of rice is 7 : 3.
Last updated on Jun 2, 2025
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