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A, B and C are three students. A got 18% more marks than B and 12% less than C. If B got 220 marks, then how much marks C has got?
- A230
- B295
- C240
- D290
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CCommunity
Option option 2 is the correct answer
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CCommunity
Given that B got 220 marks
⇒ A got 18% more that of B’s marks
⇒ A’s marks = 220 × (1 + 18/100)
⇒ A’s marks = 220 × 1.18
⇒ A’s marks = 259.6
Given that A’s marks are 12% less than that of C
⇒ A’s marks = 12% less than that of C
⇒ C’s marks × (1 – 12/100) = 259.6
⇒ C’s marks = 259.6/0.88
∴ C’s marks are 295
⇒ A got 18% more that of B’s marks
⇒ A’s marks = 220 × (1 + 18/100)
⇒ A’s marks = 220 × 1.18
⇒ A’s marks = 259.6
Given that A’s marks are 12% less than that of C
⇒ A’s marks = 12% less than that of C
⇒ C’s marks × (1 – 12/100) = 259.6
⇒ C’s marks = 259.6/0.88
∴ C’s marks are 295