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Hanna bought 20 kg of wheat at the rate of Rs. 8.50 per kg and 35 kg at the rate of Rs. 8.75 per kg. He mixed the two. At what price per kg should he sell the mixture to make 40% profit at the cost price?

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Hanna bought 20 kg of wheat at the rate of Rs. 8.50 per kg and 35 kg at the rate of Rs. 8.75 per kg. He mixed the two. At what price per kg should he sell the mixture to make 40% profit at the cost price?
1). Rs. 12
2). Rs. 15
3). Rs. 16
4). Rs. 20


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Answered by on | Votes 1 |

CP = 20 × 8.5 + 35 × 8.75 = 476.25 

Profit = 40%

Selling Price of mixture per kg = $(\frac{{\left( {100{\rm{\;}} + {\rm{\;Profit\% }}} \right)}}{{100}} \times {\rm{CP}})$

$(= \frac{{100{\rm{\;}} + {\rm{\;}}40}}{{100}} \times 476.25 = 666.75)$ 

Total quantity = 20 + 35 = 55 kg

SP per kg = $(\frac{{666.75}}{{55}} \approx 12)$

∴ The Selling Price of the mixture is Rs. 12 per kg

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