In 1 day, 25 bottles are packed by Arjun, while 22 bottles are packed by Karan in the same time. They are working on alternate days such that Arjun works on the 1
st
day, Karan on 2
nd
, Arjun on 3
rd
and so on. How many bottles will be packed in 9 days?
- A195
- B210
- C188
- D213
Solution & Step-by-step Explanation
Arjun packs 25 bottles per day, and Karan packs 22 bottles per day.
They work in a 2-day cycle:
Day 1 (Arjun): 25 bottles
Day 2 (Karan): 22 bottles
In one 2-day cycle, the total bottles packed = 25+22=47 bottles.
In 8 days, there are 4 such complete cycles:
Bottles packed in 8 days=4×47=188 bottles
On the 9
th
day, it is Arjun's turn to work:
Bottles packed on the 9
th
day=25 bottles
Total bottles packed in 9 days:
Total=188+25=213 bottles
They work in a 2-day cycle:
Day 1 (Arjun): 25 bottles
Day 2 (Karan): 22 bottles
In one 2-day cycle, the total bottles packed = 25+22=47 bottles.
In 8 days, there are 4 such complete cycles:
Bottles packed in 8 days=4×47=188 bottles
On the 9
th
day, it is Arjun's turn to work:
Bottles packed on the 9
th
day=25 bottles
Total bottles packed in 9 days:
Total=188+25=213 bottles