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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 'D'. Can you explain this answer?
Most Upvoted Answer
A number is first decreased by 25%. The decreased number is then incre...
Let the number is a
a – (75/100)*a*(120/100) = 40
we will get a = 400
Free Test
Community Answer
A number is first decreased by 25%. The decreased number is then incre...
Given:
Original number is decreased by 25% and then increased by 20%. The 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 decreased number = 0.2 * 0.75x = 0.15x
Increased number = 0.75x + 0.15x = 0.9x

Given condition:
0.9x = x - 40
Solving the equation:
0.9x = x - 40
0.9x - x = -40
-0.1x = -40
x = -40 / -0.1
x = 400
Therefore, the original number is 400. So, option 'D' is correct.
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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)100b)200c)300d)400Correct answer is option 'D'. Can you explain this answer?
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