Question
Download Solution PDFIn what ratio must a grocer mix two varieties of pulses costing Rs.72 and Rs.96 per kg respectively so as to get a mixture worth Rs.83 per kg?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of pulse 1 = ₹72/kg
Cost of pulse 2 = ₹96/kg
Mean price (mixture price) = ₹83/kg
Formula used:
Cheaper : Costlier = (C2 − Mean) : (Mean − C1)
Calculation:
⇒ 96 − 83 : 83 − 72
⇒ 13 : 11
∴ Required ratio = 13 : 11
Shortcut Trick
Price per kg (₹) | 72 | 96 | |
---|---|---|---|
83 | |||
Difference Calculation | 96 - 83 = 13 | 83 - 72 = 11 | |
Pulses A (Cheaper) | Mixture Cost Price | Pulses B (Costlier) |
Ratio of Quantity of Pulses A to Pulses B = 13 : 11
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