X. Y and Z are three students. X got 40 percent more marks than Y and 20 percent less marks than Z. If Y got 480 marks, then what are the marks got by Z?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 840.
X got 40 percent more marks than Y.
X got 20 percent less marks than Z.
Y got 480 marks.
According to the question:
⇒ X = Y + 0.40Y = 1.40Y
Y = 480 marks
⇒ X = 1.40 × 480 = 672
X got 20 percent less marks than Z, we can write Z's marks as:
⇒ X = Z - 0.20Z = 0.80Z
⇒ Z = X / 0.80
X = 672
⇒ Z = 672 / 0.80 = 840
Z got 840 marks.