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In the final examination, Bishnu scored 52%52 \% and Asha scored 64%64 \%. The marks obtained by Bishnu is 2323 less, and that by Asha is 3434 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%84 \%, is

Solution

✅ Correct Option: 1

We have four students with different percentage scores, and we need to find the actual marks of one student using the relationship between the others.

Given Information:

Bishnu scored 52% and got 23 marks less than Ramesh

Asha scored 64% and got 34 marks more than Ramesh

Geeta scored 84%

Find: Geeta's actual marks


Both Bishnu and Asha's marks are compared to Ramesh's marks, so we can find the difference between Bishnu and Asha's actual marks.

Difference in actual marks between Asha and Bishnu:

Asha is 34 marks above Ramesh

Bishnu is 23 marks below Ramesh

Total difference = 34 + 23 = 57 marks


Difference in their percentages:

Asha scored 64%

Bishnu scored 52%

Percentage difference = 64% - 52% = 12%

If 12% of the total marks equals 57 actual marks, we can find the total marks of the exam.


12% of Total marks = 57 marks

0.12×Total marks=570.12 \times \text{Total marks} = 57

Total marks=570.12=57×10012=475 marks\text{Total marks} = \dfrac{57}{0.12} = 57 \times \frac{100}{12} = 475 \text{ marks}


Now that we know the total marks is 475, we can find Geeta's actual marks:

Geeta's marks = 84% of 475

=0.84×475=399 marks= 0.84 \times 475 = 399 \text{ marks}


This approach works because we don't need to find individual marks of Bishnu, Asha, or Ramesh. We use the relationship between two known students to find the total, and once we have the total, any percentage can be converted to actual marks.

Answer: 399 marks

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