John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at

Question

John 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. Approximately at what price per kg should he sell the mixture to make 40% profit as the cost price?

A. Rs.12
B. Rs.8
C. Rs.16
D. Rs.20
E. Rs.18

A. Rs.12
B. Rs.8
C. Rs.16
D. Rs.20
E. Rs.18

yashikaaggarwal · Answer

John bought 20 kg of wheat at the rate of Rs.8.50 per kg = 20*8.5= Rs.170 ------ (1)

And, 35 kg at the rate of Rs.8.75 per kg. 
35*8.75= 306.25 --------(2)

He mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit as the cost price.

Total cost price = 306.25+170= 476.25
The shopkeeper want 40% profit
The total amount at which the shopkeeper must sell his 55kg good is 476.25*140/100 = 666.75

Amount per kg = 666.75/55 = 12.12 or 12rs per kg.

Answer is A

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NitishJain · Answer

IMO  A

Total price for 20 kg of wheat at the rate of Rs.8.50 per kg = 170
Total Price for 35 kg at the rate of Rs.8.75 per kg = 306.25

Total CP = 476.25

Now profit expected = 40% of CP = 1.4 * 476.25 = 666.75

SP for wheat per kg = 666.75 / 55 ~ 12

dimri10 · Answer

I didn't do much calculation 
I took 8.75 as hypothetical mean (hm)

20*0.25 ( distance from hm) in minus ( so -5)=> hm=> 35*0 ( distance from hm)
So -5/55 ( 20+35) is the real distance from mean

So 8.75- about 0.09 is the mean ( price per kg of the mixture) which is about 8.6
8.6*1.4 is about 12

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dave13 · Answer

\frac{(8.5 +8.75) }{2} = 8.62 1.4*8.62 = 12

Abhishek009 · Answer

CP_{55kg} = 8.50*20 + 8.75*35

Or,  CP_{55kg}= 476.25

So,  SP_{55kg}  will be  476.25*\frac{140}{100}=666.75

Hence, SP/kg will be  \frac{666.75}{55} = 12.xx , Answer must be (A)

ScottTargetTestPrep · Answer

Solution:
 
Since this is only an approximation problem and 8.50 and 8.75 are not far off from each other, we don’t have to calculate the exact cost price (and hence the selling price) of the mixture in order to solve this problem.

If we assume the per kg cost is 8.50, the selling price should be 8.50 x 1.4 = 11.90 to make a 40% profit. If we assume the per kg cost cost is 8.75 x 1.4 = 12.25 to make a 40% profit. Since the actual per kg cost should be a value between 8.50 and 8.75, we see that the selling price should be between 11.90 and 12.25. Therefore, Rs. 12 is the best approximation for the selling price.

Answer: A

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John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at

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