Question 57

In an examination, Anita scored 31% marks and failed by 16 marks. Sunita scored 40% marks and obtained 56 marks more than those required to pass. Find the minimum marks required to pass.

Solution

Anita scored 31% marks and failed by 16 marks and Sunita scored 40% marks and obtained 56 marks more than those required to pass.

Difference of percentage = difference of marks

40% - 31% = 16 + 56 (Anita is failed and Sunita is passed so marks will be added)

9% = 72 marks

56 marks = $$\frac{9}{72} \times 56 = 7%$$

Sunita scored 40% marks and obtained 56 marks more than those required to pass so,

Minimum passing marks = 40% - 7% = 33%

7% = 56 marks

33% = $$\frac{56}{7} \times 33 = 264$$


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