Question

Mr. Sharma buys an earring for Miss Sharma from 20% saving of his total income. What is Mr. Sharma’s total income if he paid Rs. 5647 for the earring.

Answer 1

Hint: We solve this question by first assuming the total income of Mr. Sharma as X. Then we find the value of 20% of his total income in terms of X. Then we equate the obtained value to the given cost of the earring and then solve it to find the value of X, which is the total income of Mr. Sharma.

Complete step by step answer:
We are given that Mr. Sharma bought an earring for Miss Sharma at the cost of 20% saving from his total income.
We are also given that the cost of the earring that he bought is equal to Rs. 5647.
So, now let us assume that the total income of Mr. Sharma is X.
As, he bought the ear ring at from 20% of his total income,
Cost of earring = $\dfrac{20}{100}\times \text{X}$
Simplifying it we get the cost of earring as,
Cost of earring = $\dfrac{\text{X}}{5}$
As we are given that the cost of the earring is equal to Rs. 5647, let us equate the above obtained value to the given amount. Then we get,
$\begin{align}
  & \Rightarrow \dfrac{\text{X}}{5}=5647 \\
 & \Rightarrow \text{X}=5\times 5647 \\
 & \Rightarrow \text{X}=28235 \\
\end{align}$
So, we get the value of X as 28235.
So, the total income of Mr. Sharma is Rs. 28235.

So, the correct answer is “Rs. 28235”.

Note: There is possibility of one interpreting the question wrongly and find the answer as,
Total Income of Mr. Sharma = $\dfrac{20}{100}\times 5647$, which is equal to 1129.5.
But it is wrong because we are given that the cost of earring is 20% of his income not in the reverse.