Question : A, B and C are three students. A got 18% more marks than B and 12% less than C. If B got 220 marks, how many marks have C got?
Option 1: 230
Option 2: 295
Option 3: 240
Option 4: 290
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Correct Answer: 295
Solution :
Given that B got 220 marks and A got 18% more than that of B,
So, A's marks = 118% of 220 = 259.6
Also, A's marks are 12% less than C's marks.
⇒ (100 – 12)% of C's marks = A's marks
⇒ 88% of C's marks = A's marks
⇒ C's marks = $\frac{259.6}{88}\times 100$
= $\frac{25960}{88}$
= 295
Hence, the correct answer is 295.
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