Question

Shyam had three note books X, Y and Z. Of these, X had 120 pages, Y had 10% more and Z had 10% less. If he tore out 5%, 10% and 15% of pages in X, Y and Z respectively, then what percent of total pages did he tear out?

• A. 8%
• B. 15%
• C. 7%
• D. None of these

Answer 1

The Correct Option is D

Total number of books shyam had,

X = 120, Y = (1.1 x 120) = 132, Z = (0.9 x 120) = 108

Total number of books he tore,

X = 5\(\%\) of X = (0.05 x 120) =  6 

Y = 10\(\%\) of Y = (0.1 X 132) = 13.2

Z = 15\(\%\) of Z = (0.15 x 108) = 16.2

Percentage of books he tore,

⇒ \(\frac{6+13.2+16.2}{12+132+108}\)  x 100

⇒ \(\frac{35.4}{360}\) x 100 = 9.83\(\%\)

Hence, option D is the correct answer. The correct option is (D): None of these