A mixture of two grades of rice contains 60% grade A and 40% grade B. If 10 kg of grade B rice is added, what will be the new percentage of grade A rice if the total weight becomes 30 kg?
Practice Questions
1 question
Q1
A mixture of two grades of rice contains 60% grade A and 40% grade B. If 10 kg of grade B rice is added, what will be the new percentage of grade A rice if the total weight becomes 30 kg?
50%
60%
70%
40%
Initial weight of grade A = 60% of 20 kg = 12 kg. New total = 30 kg, new percentage of grade A = (12/30) * 100 = 40%.
Questions & Step-by-step Solutions
1 item
Q
Q: A mixture of two grades of rice contains 60% grade A and 40% grade B. If 10 kg of grade B rice is added, what will be the new percentage of grade A rice if the total weight becomes 30 kg?
Solution: Initial weight of grade A = 60% of 20 kg = 12 kg. New total = 30 kg, new percentage of grade A = (12/30) * 100 = 40%.
Steps: 8
Step 1: Understand that the mixture initially has 60% grade A rice and 40% grade B rice.
Step 2: Let the initial total weight of the rice mixture be 20 kg (since 60% + 40% = 100%).
Step 3: Calculate the weight of grade A rice: 60% of 20 kg = 12 kg.
Step 4: Calculate the weight of grade B rice: 40% of 20 kg = 8 kg.
Step 5: Add 10 kg of grade B rice to the mixture. Now, the weight of grade B rice is 8 kg + 10 kg = 18 kg.
Step 6: The new total weight of the rice mixture is 20 kg (initial) + 10 kg (added) = 30 kg.
Step 7: The weight of grade A rice remains the same at 12 kg.
Step 8: Calculate the new percentage of grade A rice: (12 kg / 30 kg) * 100 = 40%.
