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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

Updated On: Jan 15, 2026
  • 439
  • 399
  • 357
  • 417
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The Correct Option is B

Solution and Explanation

The objective is to determine the total examination marks and Geeta's obtained marks. Let 'T' represent the total marks.

Calculate the marks obtained by Ramesh, Bishnu, and Asha:

  1. Bishnu's score is 52%:
    • \( \text{Bishnu's marks} = \frac{52}{100} \times T \)
  2. Asha's score is 64%:
    • \( \text{Asha's marks} = \frac{64}{100} \times T \)
  3. Bishnu scored 23 marks less than Ramesh:
    • \( \frac{52}{100} \times T = R - 23 \)
    • \( R = \frac{52}{100} \times T + 23 \)
  4. Asha scored 34 marks more than Ramesh:
    • \( \frac{64}{100} \times T = R + 34 \)
    • \( R = \frac{64}{100} \times T - 34 \)

Equate the two expressions for R:

\( \frac{52}{100} \times T + 23 = \frac{64}{100} \times T - 34 \)

Solve for T:

\( \frac{64}{100} \times T - \frac{52}{100} \times T = 23 + 34 \)

\( \frac{12}{100} \times T = 57 \)

\( T = \frac{57 \times 100}{12} = 475 \)

The total marks, T, are 475.

Calculate Geeta's marks, who achieved 84%:

\( \text{Geeta's marks} = \frac{84}{100} \times 475 \)

\( = 399 \)

Geeta obtained 399 marks.

Geeta's Marks399
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