JIPMAT Bar Graphs — PYPs

Read the two cities off the chart: Kolkata had $3250$ appear and $2250$ qualify; Delhi had $2500$ appear and $2000$ qualify.

Average qualified $=\frac{2250+2000}{2}=\frac{4250}{2}=2125$.

Average appeared $=\frac{3250+2500}{2}=\frac{5750}{2}=2875$.

'A is what percent of B' means $\frac{A}{B}\times100$, so the answer is $\frac{2125}{2875}\times100=73.9130\ldots$

The third decimal digit is $3$, so rounding to two places gives 73.91% - Option 3.

Both averages are over the same five cities, so read each series off the chart and divide by $5$.

Appeared: $\frac{3000+2250+3250+2500+3000}{5}=\frac{14000}{5}=2800$.

Qualified: $\frac{1750+1250+2250+2000+2000}{5}=\frac{9250}{5}=1850$.

Difference $=2800-1850=**950**$ - Option 1.

Shortcut: since both are divided by the same $5$, you can subtract the totals first - $\frac{14000-9250}{5}=\frac{4750}{5}=950$.

From the chart, $2500$ students appeared from Delhi.

Across all five cities, $3000+2250+3250+2500+3000=14000$ appeared.

Required percentage $=\frac{2500}{14000}\times100=17.857\ldots\%$, which is approximately 18% - Option 2.

The other options are far off: $24\%$ would need about $3360$ students and $12\%$ only $1680$.