Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

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.

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

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.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

Watch 3-min video & get full concept clarity