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Given,

The rate of milk in the year $2000 = Rs. 15/-$

Rate of milk in the year $2010 = Rs. 35/-$

Let, the rate of milk in the year 2000 = ${R_1}$

Then, the rate of milk in the year 2010 = ${R_2}$

Since in the question it says an increase in the rate of milk, We will subtract the rate in the year 2000 from the rate in 2010.

Change in the rate of milk = rate of milk in 2010 – rate of milk in 2000

So, the change in the rate of milk = ${R_2} - {R_1} = 35 - 15 = 20$

We know,

\[{\text{Percentage change = }}\dfrac{{{\text{Change in quantity}}}}{{{\text{Original or Initial quantity}}}} \times 100\]

\[ \Rightarrow {\text{Percentage increase = }}\dfrac{{{R_2} - {R_1}}}{{{R_1}}} \times 100\]

Substituting all the values known , we get

$

\Rightarrow {\text{Percentage increase = }}\dfrac{{20}}{{15}} \times 100 = \dfrac{{400}}{3} \\

\therefore {\text{Percentage increase = 133}}{\text{.33\% }} \\

$