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# Rajan earns $33\dfrac{1}{3}\%$ less than Ram. Then by how much percent is ram’s income above Rajan’s? A. $40\%$ B. $50\%$ C. $60\%$ D. $70\%$

Last updated date: 24th Jul 2024
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Hint: In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction. 35. 100.

Let us assume Ram’s income is $Rs100$ .
According to the question we have been given that Rajan earns $33\dfrac{1}{3}\%$ less than Ram.
So we can write $100 - 33\dfrac{1}{3}\%$ . By breaking the terms we have $100 - \dfrac{{100}}{3}$ .
It gives us a value $100 - 33.33 = 66.67$ . So we have the difference of income i.e. $100 - 66.67 = 33.33$ .
Now we will divide Ram’s income by Rajan’s income to get the result, i.e. $\dfrac{{33.33}}{{66.67}}$ .
We have to find the value in percent so we can write $\dfrac{{33.33}}{{66.67}} \times 100 \Rightarrow 49.99$ , by approximating the value we have $50\%$ .
Hence the correct option is (B) $50\%$ .