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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
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A number is first decreased by 25%. The decreased number is then incre...
Let the original number be x.
1. First, the number is decreased by 25%. So, the decreased number becomes:
Decreased number = x - (25/100) x = 0.75x
2. The decreased number is then increased by 20%. So, the resulting number becomes:
Resulting number = 0.75x + (20/100)(0.75x) = 0.75x + 0.15x = 0.9x
3. The resulting number is 40 less than the original number:
x - 0.9x = 40
4. Simplifying the equation:
0.1x = 40
5. Solving for x:
x = 40 / 0.1 = 400
Thus, the original number is 400.
Most Upvoted Answer
A number is first decreased by 25%. The decreased number is then incre...
Hi Simran,
The approach should be simple.
lets suggest the no. to be 'x' then follow the question
First it's getting decreased by 25% i.e. 25/100 = 1/4, we may say it's becoming 3/4 of the actual value.
similarly, second time it's increasing 20% that is 20/100=1/5, we can say it's changing 6/5 (5+1/5) of the actual value.
Now, acc. to question,
x * 3/4 * 6/5 = x - 40
9x= 10x - 400
x = 400
The approach should be simple.
lets suggest the no. to be 'x' then follow the question
First it's getting decreased by 25% i.e. 25/100 = 1/4, we may say it's becoming 3/4 of the actual value.
similarly, second time it's increasing 20% that is 20/100=1/5, we can say it's changing 6/5 (5+1/5) of the actual value.
Now, acc. to question,
x * 3/4 * 6/5 = x - 40
9x= 10x - 400
x = 400
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Community 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
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