Question
A student was required to calculate 9/20 of a number, but by mistake he calculated 11/20 of it. His answer exceeded the correct one by 65. Find the number.
Solution
ATQ, Let the number = x Wrong answer − Correct answer = 65 x × 11/20 − x × 9/20 = 65 (11/20 − 9/20) x = 65 (2/20) x = 65 (1/10) x = 65 x = 65 × 10 = 650 So, the number = 650.
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