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In what proportion must wheat at Rs20.40 per kg be mixed with wheat at Rs25.50 per kg, so that the mixture is worth Rs23.80 per
kg?
1 : 3
2 : 1
2 : 3
1 : 2
To find the correct proportion to mix the two types of wheat, we can use the method of alligation:
- The average price of the mixture should be Rs23.80 per kg.
- We have two types of wheat priced at Rs20.40 per kg and Rs25.50 per kg.
Now, solve using the alligation method:
- The difference between Rs25.50 and Rs23.80 is Rs1.70.
- The difference between Rs23.80 and Rs20.40 is Rs3.40.
The ratio is the difference of the costs of each type of wheat from the average, which gives us the proportion:
- Ratio = Rs1.70 : Rs3.40
- Simplify: 1 : 2
- Option 4: 1 : 2
This is the correct option.
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