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A trader has two varieties of rice, type A & type B whose selling prices are ₹100 per kg and ₹180 per kg respectively. The possible quantities of type A rice to be mixed with 500 kg of type B rice, such that the selling price of the resulting mixture is ranging between ₹120 per kg to ₹150 per kg, are:

(A) 1400 kg

(B) 200 kg

(C) 1000 kg

(D) 800 kg

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 3

Let xx kg of type A be mixed. Mixture price =100x+180(500)x+500=\frac{100x+180(500)}{x+500}.

≥120\ge120 gives x≤1500x\le1500; ≤150\le150 gives x≥300x\ge300.

So 300≤x≤1500300\le x\le1500, which admits 1400, 1000 and 800 but not 200.

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