Question Details

In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is

Options

A

439

B

399

C

357

D

417

Show Answer

Correct Answer :

Option B

399

Solution :

The correct option is 399.

Let the total marks in the examination be represented by T and the marks obtained by Ramesh be represented by R.

According to the problem, Bishnu scored 52% of the total marks, and this score is 23 marks less than Ramesh's marks. We can write this as an equation:
0.52 T = R 23
Rearranging this to express Ramesh's marks in terms of the total marks gives:
R = 0.52 T + 23      (Equation 1)

Similarly, Asha scored 64% of the total marks, which is 34 marks more than Ramesh's marks. This gives the following equation:
0.64 T = R + 34
Rearranging this to express Ramesh's marks gives:
R = 0.64 T 34      (Equation 2)

Since both equations represent Ramesh's marks (R), we can equate the two expressions:
0.52 T + 23 = 0.64 T 34

Subtracting 0.52T from both sides and adding 34 to both sides:
23 + 34 = 0.64 T 0.52 T
57 = 0.12 T

Solving for T:
T = 57 0.12 = 5700 12 = 475
So, the total marks in the examination are 475.

Geeta scored 84% of the total marks. We calculate Geeta's marks as follows:
Geeta's Marks = 84 % of T
Geeta's Marks = 0.84 × 475
Geeta's Marks = 84 100 × 475
Geeta's Marks = 21 × 19 = 399

Therefore, the marks obtained by Geeta is 399.

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