Three companies are working independently and receiving the savings 20%, 30%,…
2025
Three companies are working independently and receiving the savings 20%, 30%, 40%. If the companies work combinely, what will be their net savings ?
- A.
10%
- B.
40%
- C.
30%
- D.
20%
Attempted by 59 students.
Show answer & explanation
Correct answer: C
Answer: 30%
Explanation and steps:
Assume each company has the same base amount; take 100 for each company.
After a 20% saving the first company retains 80; after a 30% saving the second retains 70; after a 40% saving the third retains 60.
Total original amount = 100 + 100 + 100 = 300.
Total after savings = 80 + 70 + 60 = 210.
Total saving = 300 - 210 = 90, so combined saving percentage = 90 / 300 = 0.30 = 30%.
Therefore the net saving when the three companies are combined (assuming equal bases) is 30%.
Note: This conclusion relies on the assumption that each company starts from the same base amount. If instead the three percentage savings were applied sequentially to the same amount, the combined saving would be 1 - 0.8 * 0.7 * 0.6 = 0.664 = 66.4%, which is a different interpretation.