Ritika purchased 'x' kg wheat at Rs. 30/kg and sold 8 kg of this at Rs. 'x' per kg and remain inng at Rs. 45/kg. Overall profit percent earned is 10%, then what quantity of wheat Ritika at rs. 45/kg ?
Answer & explanation
Correct answer: option 3
We have,
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%
According to the question,
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