Solution: (d)

From common explanation, we have

Required % = \(\displaystyle \frac{{1320}}{{4000}}\times 100=33\%\)

Common Explanation

Total kits received from Delhi = \(\displaystyle 3\times 4200\) = 12600

\(\displaystyle \frac{C}{{A+B}}=\frac{1}{8}\)

Adding 1 on both sides

\(\displaystyle \frac{C}{{A+B}}+1=\frac{1}{8}+1\)

\(\displaystyle \frac{{C+A+B}}{{A+B}}=\frac{9}{8}\)

\(\displaystyle \frac{{4200\times 3}}{{A+B}}=\frac{9}{8}\)

Kits delivered to \(\displaystyle A+B=\frac{8}{9}\times 4200\times 3=11200\)

\(\displaystyle \Rightarrow A+B=11200\)

\(\displaystyle \Rightarrow A:B=2:3\)

Kits received to \(\displaystyle A=\frac{2}{5}\times 11200=4480\)

Kits received by \(\displaystyle B\)  = 11200 – 4480 = 6720

Kits received by \(\displaystyle C\) = \(\displaystyle 4200\times 3-11200=1400\)

Similarly calculating for each state, we get:

Solution: (c)

From common explanation, we have

Required Average = \(\displaystyle \frac{{4452\text{ }+\text{ }4620}}{2}=4536\)

Common Explanation

Total kits received from Delhi = \(\displaystyle 3\times 4200\) = 12600

\(\displaystyle \frac{C}{{A+B}}=\frac{1}{8}\)

Adding 1 on both sides

\(\displaystyle \frac{C}{{A+B}}+1=\frac{1}{8}+1\)

\(\displaystyle \frac{{C+A+B}}{{A+B}}=\frac{9}{8}\)

\(\displaystyle \frac{{4200\times 3}}{{A+B}}=\frac{9}{8}\)

Kits delivered to \(\displaystyle A+B=\frac{8}{9}\times 4200\times 3=11200\)

\(\displaystyle \Rightarrow A+B=11200\)

\(\displaystyle \Rightarrow A:B=2:3\)

Kits received to \(\displaystyle A=\frac{2}{5}\times 11200=4480\)

Kits received by \(\displaystyle B\)  = 11200 – 4480 = 6720

Kits received by \(\displaystyle C\) = \(\displaystyle 4200\times 3-11200=1400\)

Similarly calculating for each state, we get:

Solution: (a)

Required difference = (4480 + 6720) – (1600 + 4000) = 5600

Common Explanation

Total kits received from Delhi = \(\displaystyle 3\times 4200\) = 12600

\(\displaystyle \frac{C}{{A+B}}=\frac{1}{8}\)

Adding 1 on both sides

\(\displaystyle \frac{C}{{A+B}}+1=\frac{1}{8}+1\)

\(\displaystyle \frac{{C+A+B}}{{A+B}}=\frac{9}{8}\)

\(\displaystyle \frac{{4200\times 3}}{{A+B}}=\frac{9}{8}\)

Kits delivered to \(\displaystyle A+B=\frac{8}{9}\times 4200\times 3=11200\)

\(\displaystyle \Rightarrow A+B=11200\)

\(\displaystyle \Rightarrow A:B=2:3\)

Kits received to \(\displaystyle A=\frac{2}{5}\times 11200=4480\)

Kits received by \(\displaystyle B\)  = 11200 – 4480 = 6720

Kits received by \(\displaystyle C\) = \(\displaystyle 4200\times 3-11200=1400\)

Similarly calculating for each state, we get:

Solution: (a)

Required ratio = (1320 + 1590) : (3000 + 2700) = 97 : 190

Common Explanation

Total kits received from Delhi = \(\displaystyle 3\times 4200\) = 12600

\(\displaystyle \frac{C}{{A+B}}=\frac{1}{8}\)

Adding 1 on both sides

\(\displaystyle \frac{C}{{A+B}}+1=\frac{1}{8}+1\)

\(\displaystyle \frac{{C+A+B}}{{A+B}}=\frac{9}{8}\)

\(\displaystyle \frac{{4200\times 3}}{{A+B}}=\frac{9}{8}\)

Kits delivered to \(\displaystyle A+B=\frac{8}{9}\times 4200\times 3=11200\)

\(\displaystyle \Rightarrow A+B=11200\)

\(\displaystyle \Rightarrow A:B=2:3\)

Kits received to \(\displaystyle A=\frac{2}{5}\times 11200=4480\)

Kits received by \(\displaystyle B\)  = 11200 – 4480 = 6720

Kits received by \(\displaystyle C\) = \(\displaystyle 4200\times 3-11200=1400\)

Similarly calculating for each state, we get:

Solution: (e)

Kits receive by A from Jabalpur, Mumbai and Chennai = 10500 + 1600 + 1908 = 14008

Kits received by B from Delhi, Chennai and Hyderabad = 6720 + 4452 + 4620 = 15792

Required difference = 15792 – 14008 = 1784

Common Explanation

Total kits received from Delhi = \(\displaystyle 3\times 4200\) = 12600

\(\displaystyle \frac{C}{{A+B}}=\frac{1}{8}\)

Adding 1 on both sides

\(\displaystyle \frac{C}{{A+B}}+1=\frac{1}{8}+1\)

\(\displaystyle \frac{{C+A+B}}{{A+B}}=\frac{9}{8}\)

\(\displaystyle \frac{{4200\times 3}}{{A+B}}=\frac{9}{8}\)

Kits delivered to \(\displaystyle A+B=\frac{8}{9}\times 4200\times 3=11200\)

\(\displaystyle \Rightarrow A+B=11200\)

\(\displaystyle \Rightarrow A:B=2:3\)

Kits received to \(\displaystyle A=\frac{2}{5}\times 11200=4480\)

Kits received by \(\displaystyle B\)  = 11200 – 4480 = 6720

Kits received by \(\displaystyle C\) = \(\displaystyle 4200\times 3-11200=1400\)

Similarly calculating for each state, we get: