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A number is first decreased by 25%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Then the original number is – a)100 b)200 c)300 d)400 Correct answer is option?
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A number is first decreased by 25%. The decreased number is then incre...
**Solution:**
**Given information:**
- Number decreased by 25%
- Decreased number increased by 20%
- Resulting number is less than the original number by 40
**Let the original number be x.**
**Decreased number:**
- 25% of x = 0.25x
- Decreased number = x - 0.25x = 0.75x
**Increased number:**
- 20% of 0.75x = 0.2 * 0.75x = 0.15x
- Increased number = 0.75x + 0.15x = 0.9x
**Given that the increased number is less than the original number by 40:**
- 0.9x = x - 40
- 0.1x = 40
- x = 40 / 0.1
- x = 400
Therefore, the original number is 400.
Correct answer: **option d) 400**
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A number is first decreased by 25%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Then the original number is – a)100 b)200 c)300 d)400 Correct answer is option?
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