If a number x is 10% less than another number y and y is 10% more than 125, then the value of \(\left(x-\frac{3}{4}\right)\) is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 123
Each percentage is taken on the number it is compared with: y is 10% more than 125, and then x is 10% less than y.
y, 10% more than 125: \(y=125\times1.1=137.5\)
x, 10% less than y: \(x=137.5\times0.9=123.75\)
Required value: \(\displaystyle x-\frac{3}{4}=123.75-0.75=123\)
The value 123.75 in Option (1) is \(x\) itself, before \(\frac{3}{4}\) is taken away.