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A variety of wheat costing Rs 8.70 is mixed with another variety in a ratio 2 : 3.If the mixture is sold at Rs 8.10 making a loss of 10%, then what is the cost of 2nd variety of wheat?
- a)Rs 9420
- b)Rs 9.20
- c)Rs 10
- d)Rs 9.50
- e)Rs 10.20
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A variety of wheat costing Rs 8.70 is mixed with another variety in a ...
A) Rs 9.20 Explanation: SP = 8.1, loss = 10%, so CP = (100/90)*8.1 = Rs 9 1st wheat 2nd wheat 8.70 x . 9
2 3
So (x – 9)/(9 – 8.70) = 2/3 Solve, x = 9.20
2 3
So (x – 9)/(9 – 8.70) = 2/3 Solve, x = 9.20
Most Upvoted Answer
A variety of wheat costing Rs 8.70 is mixed with another variety in a ...
Given information:
- The cost of one variety of wheat is Rs 8.70.
- The wheat is mixed with another variety in a ratio of 2:3.
- The mixture is sold at Rs 8.10 with a loss of 10%.
Calculating the cost of the mixture:
Let's assume that the cost of the second variety of wheat is Rs x.
The cost of the first variety of wheat is Rs 8.70.
The mixture is in the ratio 2:3, which means for every 2 units of the first variety, there are 3 units of the second variety.
So, the cost of the mixture per unit can be calculated as:
(2 * 8.70 + 3 * x) / (2 + 3) = 8.10
Simplifying the equation, we get:
17.40 + 3x = 8.10 * 5
17.40 + 3x = 40.50
3x = 40.50 - 17.40
3x = 23.10
x = 23.10 / 3
x ≈ 7.70
Therefore, the cost of the second variety of wheat is approximately Rs 7.70.
Calculating the cost of the second variety of wheat:
The cost of the second variety of wheat is Rs 7.70.
The mixture is sold at Rs 8.10 with a loss of 10%. This means the selling price is 90% of the cost.
Let's assume the cost of the mixture is C.
Therefore, 90% of C is equal to Rs 8.10.
0.90C = 8.10
Simplifying the equation, we get:
C = 8.10 / 0.90
C ≈ 9
Therefore, the cost of the mixture is approximately Rs 9.
Since the cost of the second variety of wheat is Rs 7.70, the cost of the first variety of wheat can be calculated as:
Cost of the mixture - Cost of the second variety = Cost of the first variety
9 - 7.70 = 1.30
Therefore, the cost of the first variety of wheat is Rs 1.30.
Conclusion:
The cost of the second variety of wheat is Rs 7.70, which is option A.
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A variety of wheat costing Rs 8.70 is mixed with another variety in a ratio 2 : 3.If the mixture is sold at Rs 8.10 making a loss of 10%, then what is the cost of 2nd variety of wheat?a)Rs 9420b)Rs 9.20c)Rs 10d)Rs 9.50e)Rs 10.20Correct answer is option 'A'. Can you explain this answer?
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