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To get the profit of 25%, trader prepare the mixture of two different quality of wheat A and B of price per kg Rs.50 and Rs.30 respectively. If the ratio of A and B is 2 ∶ 3 in 1 kg, what is the selling price per kg of prepared mixture?
- a)45
- b)45.7
- c)47.5
- d)5.73.47.5
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
To get the profit of 25%, trader prepare the mixture of two different ...
For the respective quantity consumed in 1 kg of mixture,
Quantity of type A wheat in 1 kg of mixture = (2/5) × 1 = 0.4 kg
Quantity of type B wheat in 1 kg of mixture = 1 – 0.4 = 0.6 kg
For the respective cost price of wheat type,
Cost price for type A = 0.4 × 50 = Rs. 20
Cost price for type B = 0.6 × 30 = Rs. 18
Cost price per kg of mixture = Rs. 38
For the selling price,
Selling price – cost price = Profit
⇒ Selling price – 38 = 25% of cost price
⇒ Selling price = (0.25 × 38) + 38
∴ Selling price = Rs. 47.5
Quantity of type A wheat in 1 kg of mixture = (2/5) × 1 = 0.4 kg
Quantity of type B wheat in 1 kg of mixture = 1 – 0.4 = 0.6 kg
For the respective cost price of wheat type,
Cost price for type A = 0.4 × 50 = Rs. 20
Cost price for type B = 0.6 × 30 = Rs. 18
Cost price per kg of mixture = Rs. 38
For the selling price,
Selling price – cost price = Profit
⇒ Selling price – 38 = 25% of cost price
⇒ Selling price = (0.25 × 38) + 38
∴ Selling price = Rs. 47.5
Most Upvoted Answer
To get the profit of 25%, trader prepare the mixture of two different ...
To calculate the selling price per kg of the prepared mixture, we need to determine the cost price per kg and then add the profit percentage.
Given:
Price of wheat A per kg = Rs. 50
Price of wheat B per kg = Rs. 30
Ratio of A and B = 2:3
Let's assume that the quantity of wheat A in the mixture is 2x kg and the quantity of wheat B is 3x kg.
Cost price of wheat A = Price per kg * Quantity = Rs. 50 * 2x = Rs. 100x
Cost price of wheat B = Price per kg * Quantity = Rs. 30 * 3x = Rs. 90x
Total cost price of the mixture = Cost price of wheat A + Cost price of wheat B = Rs. 100x + Rs. 90x = Rs. 190x
Now, to calculate the selling price, we need to add the profit percentage.
Profit percentage = 25%
Profit = (Profit percentage / 100) * Cost price = (25/100) * Rs. 190x = Rs. 47.5x
Selling price per kg = Cost price per kg + Profit per kg = (Cost price / Total quantity) + (Profit / Total quantity)
= (190x / (2x + 3x)) + (47.5x / (2x + 3x))
= (190x + 47.5x) / 5x
= 237.5x / 5x
= Rs. 47.5
Therefore, the selling price per kg of the prepared mixture is Rs. 47.5.
Hence, the correct answer is option C) 47.5.
Given:
Price of wheat A per kg = Rs. 50
Price of wheat B per kg = Rs. 30
Ratio of A and B = 2:3
Let's assume that the quantity of wheat A in the mixture is 2x kg and the quantity of wheat B is 3x kg.
Cost price of wheat A = Price per kg * Quantity = Rs. 50 * 2x = Rs. 100x
Cost price of wheat B = Price per kg * Quantity = Rs. 30 * 3x = Rs. 90x
Total cost price of the mixture = Cost price of wheat A + Cost price of wheat B = Rs. 100x + Rs. 90x = Rs. 190x
Now, to calculate the selling price, we need to add the profit percentage.
Profit percentage = 25%
Profit = (Profit percentage / 100) * Cost price = (25/100) * Rs. 190x = Rs. 47.5x
Selling price per kg = Cost price per kg + Profit per kg = (Cost price / Total quantity) + (Profit / Total quantity)
= (190x / (2x + 3x)) + (47.5x / (2x + 3x))
= (190x + 47.5x) / 5x
= 237.5x / 5x
= Rs. 47.5
Therefore, the selling price per kg of the prepared mixture is Rs. 47.5.
Hence, the correct answer is option C) 47.5.
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Community Answer
To get the profit of 25%, trader prepare the mixture of two different ...
For the respective quantity consumed in 1 kg of mixture,
Quantity of type A wheat in 1 kg of mixture = (2/5) × 1 = 0.4 kg
Quantity of type B wheat in 1 kg of mixture = 1 – 0.4 = 0.6 kg
For the respective cost price of wheat type,
Cost price for type A = 0.4 × 50 = Rs. 20
Cost price for type B = 0.6 × 30 = Rs. 18
Cost price per kg of mixture = Rs. 38
For the selling price,
Selling price – cost price = Profit
⇒ Selling price – 38 = 25% of cost price
⇒ Selling price = (0.25 × 38) + 38
∴ Selling price = Rs. 47.5
Quantity of type A wheat in 1 kg of mixture = (2/5) × 1 = 0.4 kg
Quantity of type B wheat in 1 kg of mixture = 1 – 0.4 = 0.6 kg
For the respective cost price of wheat type,
Cost price for type A = 0.4 × 50 = Rs. 20
Cost price for type B = 0.6 × 30 = Rs. 18
Cost price per kg of mixture = Rs. 38
For the selling price,
Selling price – cost price = Profit
⇒ Selling price – 38 = 25% of cost price
⇒ Selling price = (0.25 × 38) + 38
∴ Selling price = Rs. 47.5
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To get the profit of 25%, trader prepare the mixture of two different quality of wheat A and B of price per kg Rs.50 and Rs.30 respectively. If the ratio of A and B is 2 3 in 1 kg, what is the selling price per kg of prepared mixture?a)45b)45.7c)47.5d)5.73.47.5Correct answer is option 'C'. Can you explain this answer?
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