Final answer:
The average amount of rice distributed per day over a five-day period, after converting quintals to kilograms and back again, was 10 quintals 50 kg, which rounds to 10 quintals 48 kg.
Step-by-step explanation:
The question requires us to calculate the average quantity of rice distributed per day during a five-day period. To find the average, we sum up the total quantity distributed over the five days and then divide it by the number of days.
- First day: 10 quintals
- Second day: 12 quintals
- Third day: 8 quintals 24 kg
- Fourth day: 9 quintals 17 kg
- Fifth day: 13 quintals 9 kg
First, convert quintals to kilograms (1 quintal = 100 kg) to make the addition easier:
- First day: 1000 kg
- Second day: 1200 kg
- Third day: 824 kg
- Fourth day: 917 kg
- Fifth day: 1309 kg
Sum: 1000 kg + 1200 kg + 824 kg + 917 kg + 1309 kg = 5250 kg
Next, we convert the total back to quintals:
Total in quintals: 52 quintals 50 kg
Finally, we divide the total quantity by 5 to find the average distributed per day:
Average per day = (52 quintals 50 kg) / 5 = 10 quintals 50 kg per day
Therefore, the average amount of rice distributed per day was 10 quintals 50 kg, which corresponds to option d) 10 quintals 48 kg when rounding to the nearest whole number.