7 kg of rice costing Rs. 280 per kg is mixed with 9 kg of rice costing Rs. 240 per kg. The average price per kg of the mixed rice is :

A Rs. 189.5

B Rs. 240

C Rs. 257.5

D Rs. 238.5

E None of these

Solution

Correct Answer: Option C

Total cost of rice costing Rs. 280/kg

= 280 × 7 = Rs. 1960

Total cost of rice costing Rs. 240/kg

= 240 × 9 = Rs. 2160

∴ Required average price of mixed rice

= Rs. (1960+2160)/(7+9)  per kg

= Rs. 4120/16 per kg

= Rs. 257.5 per kg

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