Number B is 17.5% less than number A, while number C is 22.5% more than number B. If the value of C is given as 8085, what is the value of A?
Answer & explanation
Correct answer: option 3
Let value of B = 100x
value of Number C = 100x + 22.5% of 100x = 122.5x
122.5x = 8085
x = 66
100x = 6600 (value of B )
Let value of A = 100y
Value of B = 100y - 17.5% of 100y = \(\frac{82.5y}{100}\)
\(\frac{82.5y}{100}\) = 6600
y = 80
100y = 8000
Value of A = 8000