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In a test, Rakesh got 50 % marks and scored 10 marks more than the pass marks. In the same test, Suresh secured 55 % marks and scored 20 marks more than the pass marks. Find the passing marks and overall marks.

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passing marks = 70, and overall marks = 300

passing marks = 40, and overall marks = 100

passing marks = 90, and overall marks = 200

passing marks = 80, and overall marks = 200

answer is C.

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Detailed Solution

Suppose that the passing marks = x,
Total marks = y
Thus, Rakesh get marks = 50% then,

= \frac{50}{100} y

= \frac{y}{2}

Marks Scored by Rakesh = 10

\frac{y}{2} = x + 10

Now we multiply both sides by 2

y = 2 x + 20

…………… (1)
Now, the Suresh’s get marks = 55 % then,

= \frac{55}{100} y

= \frac{11}{20} y

Scored marks by Suresh = 20

\frac{11}{20} y = x + 20

Now, we multiply both sides by 20,

11 y = 20 x + 400

……………(2)

11 (2 x + 20) = 20 x + 400

[put the value of

y = 2 x + 20]

22 x + 220 = 20 x + 400

22 x - 20 x = 400 - 220

2 x

= 180

x = 90

Put the value in the Equation (1) we get,

y = 2 x + 20

y = 2 (90) + 20

y = 180 + 20

y = 200

Hence, the passing score = 90, and the overall score = 200
Option 3 is correct.

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