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In a test, Swati secured 40% marks and failed by 60 marks while Kriti secured 60% marks and passed by 40 marks. Chitra secured 80 marks more than the passing marks. What was her percentage marks ?
68%
69.5%
74%
64.5%
Let the maximum marks be x. Given, Swati secure 40% marks and failed by 60 marks while Kriti secured 60% marks and passed by 40% marks. ∴ Putting the given info in the eq. form, we get pass marks = (40% of x) + 60 = (60% of x) – 40 ⇒ (60% of x) – (40% of x) = 60 + 40 ⇒ 20% of x = 100 ⇒ x = 500 ∴ Maximum marks = 500 Now, Chitra secured 80 marks more than the pass marks. ∴ Chitra scored = (40% of x) + 60 + 80 = 40/100 × 500 + 140 = 340 marks Now, Required percentage = 340 x 500 /100 = 68%
By: Amit Kumar ProfileResourcesReport error
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