Question

Tulsiram’s salary is 20% more than that of Kashyap. If Tulsiram saves Rs. 720 which is 4% of more salary, then Kashyap’s salary is:
(a) Rs. 15,000
(b) Rs. 12,000
(c) Rs. 10,000
(d) Rs. 22,000

Answer 1

Hint: In this problem, we can first find Tulsiram's salary using the given information that is 4% of his salary is Rs. 720. We will take Kashyap’s salary to be a variable, say k and then we will find the value of k according to the given conditions.

Complete step-by-step answer:

Since, we know that the word percent means per 100. That is x% of any quantity is equal to $\dfrac{x}{100}$ multiplied by that quantity.
It is given that Tulsiram saves Rs. 720 which is 4% of his salary.
Let the total salary of Tulsiram be = S
Then, using the definition of percentage we can write:
$\begin{align}
  & \dfrac{4}{100}\times S=720 \\
 & S=\dfrac{720\times 100}{4}=Rs.18,000 \\
\end{align}$
The value of S comes out to be 18,000. So, the salary of Tulsiram is Rs. 18,000.
It is also given that Tulsiram’s salary is 20% more than that of Kashyap. It implies that if we add 20% of Kashyap’s salary to his own salary then we get the value of Tulsiram’s salary.
Let us take the salary of Kashyap be = k
20% of Kashyap’s salary will be = $\dfrac{20}{100}k=\dfrac{k}{5}$
So, we can write:
$\begin{align}
  & k+\dfrac{k}{5}=18000 \\
 & \dfrac{5k+k}{5}=18000 \\
 & 6k=18000\times 5 \\
 & k=\dfrac{18000\times 5}{6} \\
 & k=15000 \\
\end{align}$
So, the value of k comes out to be 15,000.
Therefore, kashyap’s salary is Rs. 15,000.
Hence, option (a) is the correct answer.

Note: Students should note here that we can solve this problem in another way also. Since, Tulsiram’s salary is 20% more than Kashyap’s salary, we can subtract 20% of Tulsiram’s salary from his salary itself to find the salary of kashyap. Both these ways will lead to the same answer.