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Ritika purchased 'x' kg wheat at Rs. 30 kg and sold 8 kg of this at Rs. 'x' per kg and remaining at Rs. 45/kg. Overall profit percent earned is 10%, then what quantity of wheat Ritika sold at Rs. 45/kg?
  • a)
    18 kg
  • b)
    16 kg
  • c)
    10 kg
  • d)
    14 kg
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Ritika purchased x kg wheat at Rs. 30 kg and sold 8 kg of this at Rs. ...
Given:
Cost price of wheat = Rs. 30 per kg
Selling price of 8 kg = Rs. 'x' per kg
Selling price of remaining wheat = Rs. 45 per kg
Overall profit percentage = 10%
Calculation:
Cost price = Rs. 30 per kg
Total cost price = CP = Rs. 30 × x = 30x
Profit must be 10%
So, SP = 30x × 110/100 = 33x
For the first 8 kg of wheat, the selling price is Rs. 'x' per kg.
Selling price of 8 kg = 8 × x = 8x
For the remaining wheat, the selling price is Rs. 45 per kg.
Remaining quantity = (x - 8) Kg
According to the question
33x = 8x + (x - 8)45
33x = 8x + 45x - 8 × 45
x = 18 kg.
Quantity of wheat sold at Rs. 45 per kg = (x - 8) = 18 - 8 = 10 kg
Therefore, Ritika sold 10 kg of wheat at Rs. 45 per kg.
∴ Option 3 is the correct answer.
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Ritika purchased x kg wheat at Rs. 30 kg and sold 8 kg of this at Rs. x per kg and remaining at Rs. 45/kg. Overall profit percent earned is 10%, then what quantity of wheat Ritika sold at Rs. 45/kg?a)18 kgb)16 kgc)10 kgd)14 kgCorrect answer is option 'C'. Can you explain this answer?
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