CAT 2020 Slot 3 QA Question 18: 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, wh

Question

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, wh

Accepted Answer

Let the total marks be $M$.

Bishnu's marks = $52$% of $M$
Asha's marks = $64$% of $M$

Ramesh scored 23 more than Bishnu and 34 less than Asha.
$0.52M + 23 = 0.64M - 34$
$\Rightarrow 0.12M = 57$
$\Rightarrow M = 475$

Geeta's marks = $0.84 	imes 475 = 399$

Answer: (3) 399

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