# Q. 4.     Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.            (a) $25\; cm:1\; m\; and\; Rs.40:Rs.160$            (b) $\inline 39$ litres : $\inline 65$ litres and $\inline 6$ bottles :$\inline 10$ bottles            (c) $\inline 2\; kg:80\; kg\; and\; 25\; g:625\; g$            (d) $\inline 200\; mL:2.5\; litre\; and\; Rs.4:Rs.50$

Answers (1)
P Pankaj Sanodiya

(a) $25\; cm:1\; m\; and\; Rs.40:Rs.160$

$\frac{25}{100}=\frac{1}{4}...........(1)$

$\frac{40}{160}=\frac{1}{4}...........(2)$

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 1 m and Rs 40

Extreme Terms: 25 cm and Rs 160.

(b) $\inline 39$ litres: litres and $\inline 6$ bottles :$\inline 10$ bottles

$\frac{39}{65}=\frac{3}{5}...........(1)$

$\frac{6}{10}=\frac{3}{5}...........(2)$

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 65 litres and 6 bottles

Extreme Terms: 39 litres and 10 bottles.

(c) $\inline 2\; kg:80\; kg\; and\; 25\; g:625\; g$

$\frac{2}{80}=\frac{1}{40}...........(1)$

$\frac{25}{626}=\frac{1}{25}...........(2)$

As we can see (1) and (2) are not equal, they are not in proportion.

(d) $\inline 200\; mL:2.5\; litre\; and\; Rs.4:Rs.50$

$\frac{200}{2500}=\frac{2}{25}...........(1)$

$\frac{4}{50}=\frac{2}{50}...........(2)$

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 2.5 litres and Rs 4

Extreme Terms:200 mL and Rs 50.

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