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CAT 2020 Quant Question [Slot 3] with Solution 25

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, who scored 84%, is

1. 439
2. 399
3. 357
4. 417
Option: 2
Solution:

Let the total marks be T and scores of Bishnu, Asha and Ramesh be a, b and c respectively.

Given, $a = 52\%$ of $T = c - 23$ and $b = 64\%$ of $T = c + 34$

Hence, $(64 - 52)\%$ of $T = (c + 34) - (c - 23) = 57$

i.e. $12\%$ of $T = 57$

Hence, score of Geeta $= 84\%$ of $T = 7 \times 57 = 399$

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