A grocer purchased 2 kg. of rice at the rate of Rs. 15 per kg. and 3 kg. of rice at the rate of Rs. 13 per kg. At what price per kg should he sell the mixture to earn 33.33% profit on the cost price?
1). Rs. 28.00
2). Rs. 20.00
3). Rs. 18.40
4). Rs. 17.40
Price of 2 kg rice I = Rs. 30
Price of 3 kg rice II = Rs. 39
⇒ Price of 5 kg mixture = Rs. 30 + Rs. 39 = Rs. 69
Now, 33.33% profit is required ⇒ 100 + 100/3 of CP
⇒ 400/3% of CP = [400/(3 × 100)] × 69 = 4 × 23 = Rs. 92
⇒ Selling price of 5 kg mixture of rice = Rs. 92
∴ Selling price of 1 kg mixture = 92/5 = Rs. 18.40 per kg