Discussion
A scored 15 marks less than B in an examination. If B scored 25% more marks than A, then how much marks did B score?
Answer: D
B scored 75 marks.
Let A score a. Then B = a + 15 and also B = 1.25a.
\[ \begin{aligned} 1.25a &= a + 15 \\ 0.25a &= 15 \Rightarrow a = 60 \\ B &= 60 + 15 = 75 \end{aligned} \]
Check: 75 is 25% more than 60. The option 60 is A's score, the usual trap. 35 and 40 do not satisfy both conditions: for B = 40, A would be 25, and 40 is 60% more than 25, not 25%.
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