Correct Answer - Option 3 : 140
Given:
75% of a number is added to 75.
half of number is subtracted from the resulting number to arrive at final result equal to 110.
Concepts used:
Resulting number = 75% of original number + 75
Calculation:
75% of a number is added to 75.
Let original number be equal to x.
⇒ Resulting number = 75% of original number + 75
⇒ Resulting number = 0.75x + 75
half of number is subtracted from the resulting number to arrive at final result equal to 110.
⇒ New final number = 0.75x + 75 – 0.50x = 0.25x + 75
⇒ 110 = 0.25x + 75
⇒ 110 – 75 = 0.25x
⇒ x = 140
∴ Original number is equal to 140.