Question : The line chart given below shows the number of pencils sold by two shopkeepers A and B in 5 months.
Which of the following statements is correct?
I. The number of pencils sold by A in P and Q together is 31.72 percent more than the number of pencils sold by B in S and T together.
II. The number of pencils sold by B in Q and R together is 105.88 percent of the number of pencils sold by A in P and T together.
Option 1: Neither I nor II
Option 2: Only I
Option 3: Only II
Option 4: Both I and II
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Correct Answer: Only II
Solution :
Statement I:
Number of pencils sold by A in P and Q together = 150 + 140 = 290
Number of pencils sold by B in S and T together = 130 + 125 = 255
Percent of number of pencils sold by A in P and Q together to number of pencils sold by B in S and T together = $\frac{290}{255}\times{100}$ = 113.72%
The number of pencils sold by A in P and Q together is 13.72 percent more than the number of pencils sold by B in S and T together.
$\therefore$ Statement I is wrong.
Statement II:
Number of pencils sold by B in Q and R together = 110 + 160 = 270
Number of pencils sold by A in P and T together = 150 + 105 = 255
Percent of the number of pencils sold by B in Q and R together to the number of pencils sold by A in P and T together = $\frac{270}{255}\times{100}$ = 105.88%
$\therefore$ Statement II is correct.
Hence, the correct answer is only II.
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