1.

Chikara has 40% more pencils than Priya. Two days later the no of pencils with Chikara increased by 20% and that of Priya decreased by 10%. Again two days later, no of pencils with Chikara decreased to \(66\frac{2}{3}\% \) and that of Priya increased by \(33\frac{1}{3}\%\). Then-1). Chikara has more pencils than Priya2). Priya has more pencils than Chikara3). They both have same number of pencils4). Data insufficient

Answer»

Let Priya has 100 pencils initially, therefore no of pencils with Chikara = 140 (40% more).

Now,

 

Chikara

Priya

Initially

140

100

After 2 days

120% of 140 = 168

90% of 100 = 90

After 4 days

(2/3) of 168 = 112

90 + (1/3)× 90 = 120


We KNOW that: $(\;\LEFT[ {66\frac{2}{3}\%= \frac{2}{3}\;and\;33\frac{1}{3}\%= \frac{1}{3}} \right])$

i.e. Priya has more pencils than Chikara.



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