| 60 kg of a certain variety of rice at Rs. 32 per kg is mixed with 48 kg of another variety of rice and the mixture is sold at the average price of Rs. 28 per kg. If there is no profit or loss due to the new sell price, then the second price variety of rice is |
A) Rs. 25.60 per kg
B) Rs. 25 per kg
C) Rs. 23 per kg
D) Rs. 30 per kg
Correct Answer: C
Solution :
| Let price of the second variety of rice be Rs. x per kg. |
| Then, total cost of first variety of rice |
| \[=60\times 32=\text{Rs}\text{. 1920}\] |
| and total cost of second variety of rice |
| \[=48\times x=48\,\,x\] |
| \[\therefore \]Total SP of both varieties of rice |
| \[=\,\,(60+48)\times 28=108\times 28=\text{Rs}\text{. 3024}\] |
| Since, there is neither profit nor loss |
| \[\therefore \] \[1920+48x=3024\] |
| \[\Rightarrow \] \[48x=1104\]\[\Rightarrow \]\[x=23\] |
| Thus, price of second variety of rice is Rs. 23 per kg. |
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