P1, P2 and P3 are three students. P1 got 62.5 percent less marks than P2 and 70 percent more marks than P3. If P2 got 8160 marks, then what are the marks got by P3?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1800.
P1 got 62.5% less marks than P2
P1 got 100% - 62.5% = 37.5% of P2's marks
⇒ P1 = 0.375 × P2
Given that, P2 got 8160 marks
⇒ P1 = 0.375 × 8160 = 3060
Thus, P1 got 3060 marks
Now,
P1 got 70% more marks than P3
P1's marks = 100% + 70% = 170% of P3's marks
⇒ P1 = 1.7 × P3
⇒ 3060 = 1.7 × P3
⇒ P3 = 1800