Correct Answer - Option 1 : 400
Given:
In an exam, marks of student E increased by 45% and then reduced by 40% due to which final marks obtained by E were less than the original marks by 52.
Concepts used:
Original marks - Final marks = Reduced marks
Calculation:
Let the original marks obtained by E be x.
In an exam, marks of student E increased by 45% and then reduced by 40%.
Marks after increment of 45% = x + 0.45x = 1.45x
Marks after reduction by 40% = 1.45x × (100 – 40)/100 = 0.87x
Final marks = 0.87x
Final marks obtained by E were less than the original marks by 52.
⇒ x - 0.87x = 52
⇒ 0.13x = 52
⇒ x = 52/0.13
⇒ x = 400 marks
∴ Original marks obtained by E are equal to 400.
