Z is increased successively by 11% and 10% to get R. If R = 165, then what is the value of Z?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 135.
Calculations:
According to the question;
After the first increment -
X = Z + 11(1/9)% of Z
X = Z + (1/9) of Z
X = (10/9)Z
Now,
After the second increment -
R = X + 10% of X
R = X + 0.1X
R = 1.1X = (11/9)Z
Now,
⇒ 165 = (11/9)Z
So,
⇒ Z = 135