if a sales man gets successive gain of 15% and 20% then his actual gain?
2024
if a sales man gets successive gain of 15% and 20% then his actual gain?
- A.
35%
- B.
5%
- C.
38%
- D.
45%
Attempted by 86 students.
Show answer & explanation
Correct answer: C
Key idea: handle successive percentage gains by compounding them or using the formula.
Method 1 (formula): If the successive gains are a% and b%, total gain = a + b + (a×b)/100.
Apply values: a = 15 and b = 20, so total gain = 15 + 20 + (15×20)/100 = 15 + 20 + 3 = 38%.
Method 2 (numeric check): Let cost price = 100. After 15% gain price = 115. After a further 20% gain price = 115 × 1.20 = 138. Net gain = 138 − 100 = 38%.
Answer: 38%.