If the number is first increased by 15% ,then reducted by 15%, it result in 782. If the same number is first reduced is first reduced by 25% then increased by 25% and again reduced by 20% , then what will be the resulting number?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 600
Given :
A number is first increased by 15% and then decreased by 15%
Number is 782
Now, the same number is first reduced by 25%, then increased by 25% and
again reduced by 20%
Calculations :
Let the number be N
N is increased by 15% = (115/100) × N = 23N/20
Now, N is decreased by 15% = (23N/20) × (85/100) = 1955N/2000
⇒ 391N/400 = 782
⇒ N = 800
Now, the new number is decreased by 25% = (75/100) × 800
⇒ 600
Now, increased by 25% = (125/100) × 600
⇒ 750
Now, number is reduced by 20% = (80/100) × 750
⇒ 600
Hence, the new number formed is 600.