Question
Download Solution PDFIn what ratio should sugar costing ₹78 per kg be mixed with sugar costing ₹36 per kg so that by selling the mixture at ₹86.8 per kg, there is a profit of 24%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost price of sugar 1 = ₹78/kg
Cost price of sugar 2 = ₹36/kg
Selling price of mixture = ₹86.8/kg
Profit = 24%
Formula used:
CP of mixture = SP ÷ (1 + profit%)
Allegation rule: \(\frac{\text{Costlier}}{\text{Cheaper}} = \frac{\text{Mean CP} - \text{CP of cheaper}}{\text{CP of costlier} - \text{Mean CP}}\)
Calculation:
⇒ CP of mixture = 86.8 ÷ 1.24 = ₹70
Apply allegation:
⇒ (70 − 36) : (78 − 70) = 34 : 8
∴ Required ratio = 34 : 8
Last updated on Jul 16, 2025
-> More than 60.65 lakh valid applications have been received for RPF Recruitment 2024 across both Sub-Inspector and Constable posts.
-> Out of these, around 15.35 lakh applications are for CEN RPF 01/2024 (SI) and nearly 45.30 lakh for CEN RPF 02/2024 (Constable).
-> The Examination was held from 2nd March to 18th March 2025. Check the RPF Exam Analysis Live Updates Here.