At what price must Kantilal sell a mixture of 80 kg sugar

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At what price must Kantilal sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20% ?

1. Rs. 7.50 per kg
2. Rs. 8.20 per kg
3. Rs. 8.85 per kg
4. Rs. 8.76 per kg

Correct Option: D

Total C.P.of 200 kg of sugar = Rs. (80 x 6.75 + 120 x 8)
= Rs. (500 + 960)
= Rs. 1460

C.P. of 1 kg = Rs. 1460 / 200 = Rs. 7.30
Gain required = 20%
∴ S.P. of 1 kg = (120% of Rs. 7.30)
= Rs. (120/100) x 7.30
= Rs. 8.76 per kg