If a number is first increased by 15%, then reduced by 15%, it results in 782. If the same number is first reduced by 25%, then increased by 25% and again reduced by 20%, then what will be the resulting number?
Answer & explanation
Correct answer: option 4
Let the number of 100x
Number after increased by 15% = 100x × \(\frac{23}{20}\)
= 115x
Number after decreased by 15% = 115x × \(\frac{17}{20}\)
= 97.75x
According to question ,
97.75x = 782
x = \(\frac{782}{97.75}\) = 8
100x = 800
New number after reduced by 25%
25% = \(\frac{1}{4}\)
4R = 800 , 1R = 200
New value = 3R = 3 × 200 = 600
Again , New number after increased by 25% = 600 ×\(\frac{3}{4}\) = 750
New number after reduced by 20% = 750 × \(\frac{4}{5}\) = 600