Directions: Choose the correct answer.Q. Ram went to a shop to buy 50 ...
Let one variety of rice be x kg.
Another quantity = (50 – x) kg According to question x × 4.50 + (50 – x) 5 = 240
4.5x + 250 – 5x = 240 0.5x = 10 x = 20
Hence, the quantity of cheaper rice was 20 kg.
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Directions: Choose the correct answer.Q. Ram went to a shop to buy 50 ...
Question Analysis:
Ram went to a shop to buy 50 kg of rice. He bought two varieties of rice which cost him Rs 4.50 per kg and Rs 5 per kg. He spent a total of Rs 240. We need to determine the quantity of the cheaper rice purchased by him. Let's solve this problem step by step.
Solution:
Step 1: Calculate the total cost of the rice purchased.
To find the total cost, we can multiply the total quantity of rice purchased (50 kg) by the average price per kg.
Average price per kg = (Cost of 1st variety rice + Cost of 2nd variety rice) / 2
= (4.50 + 5) / 2
= 4.75 per kg
Total cost = Total quantity * Average price per kg
= 50 * 4.75
= Rs 237.50
Step 2: Determine the cost difference.
The difference between the total cost and the amount spent by Ram will give us the cost of the cheaper rice purchased.
Cost difference = Total cost - Amount spent
= 237.50 - 240
= -2.50
Step 3: Calculate the quantity of the cheaper rice purchased.
Since the cost difference is negative, it means that the amount spent is less than the total cost. Therefore, the quantity of the cheaper rice purchased is positive and can be calculated using the formula:
Quantity of cheaper rice = Cost difference / (Cost of 2nd variety rice - Cost of 1st variety rice)
= -2.50 / (5 - 4.50)
= -2.50 / 0.50
= 5 kg
Step 4: Check the answer options.
The answer options provided are:
a) 20 kg
b) 25 kg
c) 30 kg
d) None of these
Step 5: Compare the answer options with the calculated quantity.
The calculated quantity of the cheaper rice is 5 kg. None of the answer options match this value, so the correct answer is "None of these."
Conclusion:
The correct answer is "None of these" as none of the provided options match the calculated quantity of the cheaper rice, which is 5 kg.