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The difference between the number obtained by increasing a certain number by 8% and that obtained by dimnishing it by 3% is 407.find the original number

Asked by Shivamkeshari990 7th June 2016, 11:11 AM
Answered by Expert
Answer:
Let the original number be n. 
8% of n = 8 over 100 cross times n = 0.08n
Increasing n by 8% = n + 0.08n = 1.08n
 
3% of n = 3 over 100 cross times n = 0.03n
Diminishing n by 3% = n - 0.03n = 0.97n
 
Given, difference between the number is 407

⇒ 1.08n - 0.97n = 407

⇒ 0.11n = 407

⇒ n = fraction numerator 407 over denominator 0.11 end fraction equals 40700 over 11 space equals space 3700

Hence, the original number is 3700. 

Answered by Expert 7th June 2016, 4:19 PM
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