Question

Prabodh bought 30 kg of rice at the rate of rs. 8.50 per kg and 20 kg of rice at the rate of rs. 9.00 per kg. he mixed the two. at what price (app.) per kg should he sell the mixture in order to get 20% profit

Answer 1

30 kgs X 8.50 = 255

20 kgs X 9.00 = 180

Total cost is Rs. 435 for 50 kgs.

50 kgs ÷ 435 is Rs. 8.7/- per kg.

To get 20% net profit Prabodh need to sell it for

Rs. 8.7 X 120/100  i.e.  Rs. 10.44

Answer 2

Selling price of rice mixture is Rs.10.44 approximately per kg to get 20% profit

Solution:  

Total price after mixing the two variety of rice is

$30 \times 8.5+20 \times 9.0=255+180=R s .435$

Total amount of rice bought = 20 kg + 30 kg = 50 kg

Therefore, the Cost Price per kg is Rs. $\frac{435}{50}=8.7$

To get a profit of 20%, the trader would sell each kg of rice at $R s .\left(8.7 \times \frac{120}{100}\right)=R s .10.44$

Selling Price of rice mixture = Rs.10.44