Question
Download Solution PDFIn what ratio sugar of Rs. 38 per kg and Rs. 30 per kg be mixed with each other so that on selling mixture at Rs. 35.2 per kg there will be a profit of 10%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Profit = 10%, Selling Price = Rs. 35.2
Cost Price = Selling Price/(1 + Profit%) = 35.2/(1 + 10%) = 35.2/(1 + 0.1) = 35.2/1.1 = Rs. 32
Now find the ratio in which the two varieties of sugar need to be mixed to get a cost price of Rs. 32
Using the formula for Allegations,
Quantity of lesser price/Quantity of higher price = (Average - Price of lesser quantity)/(Price of higher quantity Average)
⇒ (32 – 30)/(38 – 32) = 2/6 = 1 : 3
∴ Required ratio = 1 : 3Last updated on May 28, 2025
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