Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination? Options:
A) 90
B) 250
C) 85
D) 75
E) 65
Explanation:   Let x is the maximum marks of the examination   Marks that Arun got = 30 % of x = 30x/100   Given that Arun failed by 10 marks   ⇒Minimum Pass Mark = 30x/100 + 10......(Equation 1)   Marks that Sujith got = 40 % of x = 40x/100   Given that Sujith got 15 marks more than the passing marks   ⇒40x100=Minimum Pass Mark +15   ⇒Minimum Pass Mark =40 x100 −15......(Equation 2)   From equations 1 and 2, we have   30 x 100 + 10 = 40x/100 − 15   ⇒10x/100 = 10 + 15= 
<gadget id="calculator">10 + 15</gadget>
<output>25</output>
25   ⇒x/10= 25   ⇒ x = 10 × 25 = 250   ⇒Maximum marks of the examination = x = 250   Substituting the value of x in Equation 1, we have   Minimum Pass Mark = 30x/100 + 10 = 30 × 250/100 + 10 = 75 + 10= 
<gadget id="calculator">75 + 10</gadget>
<output>85</output>
85   Answer: Option 85
<result>C</result>
Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?