Data Interpretation

Verify the choices one by one.

(a) The total sales of all the four companies was different in each month, hence (a) is false.

(b) For the given period:

Total Sales of C1 = 175 +150 + 225 + 250 + 150 + 200 = 1150.

Total Sales of C3 = 75 + 75 + 100 + 100 + 50 + 75 = 475.

Hence, (b) is false.

(c) Total Sales of C2 for the given period = 650

Required percentage

$=\frac{650}{1150+475+1375+650}=17.8\mathrm{\%}$

(d)          The sales of C2 were less than the sales of C4 in each month. Hence, (d) is false

Month = C3/Total Sales*100

January $\frac{75}{550}*100=13.6\mathrm{\%}$

February $\frac{75}{500}*100=15\mathrm{\%}$

March $\frac{100}{700}*100=14.28\mathrm{\%}$

April $\frac{100}{800}*100=12.5\mathrm{\%}$

May $\frac{50}{450}*100=11.11\mathrm{\%}$

June $\frac{75}{650}*100=11.53\mathrm{\%}$

Month = C1/Total Sales * 100

January $\left(\frac{175}{550}\right)*100=31.31\mathrm{\%}$

February $\left(\frac{150}{500}\right)*100=30\mathrm{\%}$

March $\left(\frac{225}{700}\right)*100=32.14\mathrm{\%}$

April $\left(\frac{250}{800}\right)*100=31.25\mathrm{\%}$

May $\left(\frac{150}{450}\right)*100=33.33\mathrm{\%}$

June $\left(\frac{200}{650}\right)*100=30.7\mathrm{\%}$

No month have sales more than 33.33%. Hence option (d)

Month = C3/ (C2+C4)

January $\left(\frac{75}{100+200}\right)=25\mathrm{\%}$

February $\left(\frac{75}{100+175}\right)=27.27\mathrm{\%}$

March $\left(\frac{100}{125+250}\right)=26.66\mathrm{\%}$

April $\left(\frac{100}{150+300}\right)=22.22\mathrm{\%}$

May $\frac{50}{75+175}=20\mathrm{\%}$

June $\frac{75}{100+275}=20\mathrm{\%}$

Hence, the required percentage was the most in the month of February.

Required Ratio

 = Increase in R4/ Increase in R3

$=\frac{2046}{2028}=1$

$Ratio=\frac{\frac{2.1}{100}*2400}{\frac{17}{100}*10200}=0.29$

R3$=\frac{26}{100}*10200-\frac{26}{100}*2400=2028$

R4 $=\frac{25}{100}*10200-\frac{26}{100}*2400=2046$

R5 $=\frac{24*10200}{100}-\frac{26*2400}{100}=1812$

Percentage change in R2 Sales

$=\left(\frac{\left(\frac{8*10200}{100}\right)-\left(\frac{12*2400}{100}\right)}{\left(\frac{12*2400}{100}\right)}\right)*100=183\mathrm{\%}$

Total votes in 2009 = (2.24/44.8)*100=5 crore

Total Votes in 1999 = (1.228/30.7)*100= 4 crore

4 cr. is 20% less than 5 cr.