Question

The salary of Sachin Tendulkar is 20% more than that of Ricky Ponting. By what percentage is Ricky’s salary less than that of Sachin’s)
 (Write answer in the nearest integer)

Answer 1

Hint: Take Ricky’s salary as x. So, according to question, Sachin's salary would be $$x+{\displaystyle \frac{20x}{100}}\Rightarrow {\displaystyle \frac{120x}{100}}\Rightarrow {\displaystyle \frac{6x}{5}}.$$Then, calculate difference in salary to get the desired result.

Complete step-by-step answer:
In the question, we are told that, the salary of Sachin Tendulkar is 20% more than that of Ricky Ponting, so, we have to tell that, by what percent is Ricky’s salary less than that of Sachin's.
In the expression % is called percentage. At first, we will learn about this term percentage.
In mathematics, a percentage (from Latin per centum "by a hundred") is a number of ratios expressed as a fraction of 100. It is often denoted by using the '%' sign or the abbreviation "pct.", "pct" sometimes "pc" is also used. A percentage is dimensionless or pure number.
For example: 45% is read as forty-five percent is equal to ${\displaystyle \frac{45}{100}}\Rightarrow 0.45$
The term percent is derived from the Latin per centum meaning "by the 100". The sign for "percent" evolved by a gradual can't ration of the Italian term per cento, meaning "for a hundred". The "per" was often abbreviated as "p" and eventually disappeared entirely. The word "cento" was contracted to two circles separated by horizontal lines, from which modern "%" is derived.
Let's suppose that the salary of Ricky Ponting is 'x'. Now, in the question, it is said that the amount of Sachin's salary is 20% more than Ricky Pointing's salary. So, according to question, we can say that, Sachin's salary is more than Ricky’s salary by 20% $\Rightarrow {\displaystyle \frac{20}{100}}\times x$ which can be written as ${\displaystyle \frac{x}{5}}.$ So, the salary of Sachin will be $x+{\displaystyle \frac{x}{5}}\Rightarrow {\displaystyle \frac{5x+x}{5}}$ which can be said as ${\displaystyle \frac{6x}{5}}$ if Ricky’s salary is x.
Now, here the percentage will be upon Sachin's salary. So, the difference between the salary of Sachin and Ricky is ${\displaystyle \frac{6x}{5}}-x\Rightarrow {\displaystyle \frac{x}{5}}$
The percentage by which Ricky’s salary is less than that of Sachin's is ${\displaystyle \frac{{\displaystyle \frac{x}{5}}}{{\displaystyle \frac{6x}{5}}}}\times 100\mathrm{\%}\Rightarrow {\displaystyle \frac{1}{6}}\times 100\mathrm{\%}$ which can be calculated as 16.66% and approximate as 17%.
Therefore, the percentage is 17%.

Note: This question can also be solved by another way. We can find the difference by calculating 20% of Ricky’s salary and then calculating its percentage upon Sachin's salary like this,
${\displaystyle \frac{\left(\mathrm{D}\mathrm{i}\mathrm{f}\mathrm{f}\mathrm{e}\mathrm{r}\mathrm{e}\mathrm{n}\mathrm{c}\mathrm{e}\mathrm{b}\mathrm{e}\mathrm{t}\mathrm{w}\mathrm{e}\mathrm{e}\mathrm{n}\mathrm{S}\mathrm{a}\mathrm{c}\mathrm{h}\mathrm{i}\mathrm{n}\mathrm{a}\mathrm{n}\mathrm{d}\mathrm{R}\mathrm{i}\mathrm{c}\mathrm{k}{\mathrm{y}}^{\prime }\mathrm{s}\mathrm{s}\mathrm{a}\mathrm{l}\mathrm{a}\mathrm{r}\mathrm{y}\right)}{\mathrm{S}\mathrm{a}\mathrm{c}\mathrm{h}\mathrm{i}{\mathrm{n}}^{\prime }\mathrm{s}\mathrm{s}\mathrm{a}\mathrm{l}\mathrm{a}\mathrm{r}\mathrm{y}}}\times 100$