Question
Download Solution PDFA shopkeeper has two varieties of rice: Type A, costing ₹60 per kg, and Type B, costing ₹100 per kg. He wants to mix these two varieties to create a mixture worth ₹85 per kg. In what ratio should he mix Type A and Type B to achieve this target price?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFShortcut Trick Given:
Type A: ₹60/kg
Type B: ₹100/kg
Mixture: ₹85/kg
| Rice A (Cheaper Rice) | Mixture Cost Price | Rice B (Costlier Rice) | |
|---|---|---|---|
| Price per kg (₹) | 60 | 100 | |
| 85 | |||
| Difference Calculation | 100 - 85 = 15 | 85 - 60 = 25 |
Ratio of Quantity of Rice A to Rice B = 15 : 25 = 3 : 5
Alternate MethodGiven:
Cost of Type A rice = ₹60/kg
Cost of Type B rice = ₹100/kg
Mixture price = ₹85/kg
Formula used:
Allegation or mixture ratio = (Price of dearer - Mean price) : (Mean price - Price of cheaper)
Calculation:
Ratio = (100 - 85) : (85 - 60)
⇒ Ratio = 15 : 25
⇒ Ratio = 3 : 5
∴ Type A and Type B should be mixed in the ratio 3:5.
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