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Nipun mixes two varieties of rice costing Rs. 50 per kg and Rs. 80 per kg and sells the mix at Rs. 75 per kg to gain 25% in the deal. If he sells 150 kg of the mix, how much of it is the cheaper variety of rice?
  • a)
    75 kg
  • b)
    100 kg
  • c)
    110 kg
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Nipun mixes two varieties of rice costing Rs. 50 per kg and Rs. 80 per...
Let 1 kg of mixture contains the cheaper and dearer variety of rice in the ratio x : y

50x + 80y = 60x + 60y
10x = 20y
x = 2y
Each kg of the mix contains 1 part of the dearer variety and 2 parts of the cheaper variety.
150 kg of the mix contains 100 kg of the cheaper variety.
Hence, option 2.
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Most Upvoted Answer
Nipun mixes two varieties of rice costing Rs. 50 per kg and Rs. 80 per...
Let's assume that Nipun mixes x kg of the cheaper variety of rice (priced at Rs. 50 per kg) and (150 - x) kg of the costlier variety of rice (priced at Rs. 80 per kg).

To gain a profit of 25%, Nipun sells the mix at Rs. 75 per kg.

Now, let's calculate the cost price and selling price for the mix:

Cost price of the mix = (x kg * Rs. 50/kg) + ((150 - x) kg * Rs. 80/kg)
Selling price of the mix = 150 kg * Rs. 75/kg

To find the value of x, we can equate the cost price and selling price of the mix:

(x * 50) + ((150 - x) * 80) = 150 * 75

Simplifying the equation:

50x + 12000 - 80x = 11250
-30x = -750
x = 25

Therefore, Nipun mixes 25 kg of the cheaper variety of rice and (150 - 25) kg = 125 kg of the costlier variety of rice.

Hence, the correct answer is option B) 100 kg.
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