Question

Ramu saves 14% of his salary while Ramesh saves 24%. If both get equal salaries and Ramesh saves Rs.1440, then Ramu’s expenditure is
(A). Rs.5000
(B). Rs.5160
(C). Rs.5050
(D). Rs.6450

Answer 1

Hint – Assume the salaries of both Ramu and Ramesh to be x. As given that Ramesh saves 24% of his salary and it is also given that he saves Rs.1440, so equate these to find the value of x and then solve.

Complete step-by-step solution -
Given in the question that-
Ramu saves 14% of his salary and Ramesh saves 24% of his salary.
Also, both get equal salary and Ramesh saves Rs.1440.
So, let us assume the salaries of both Ramu and Ramesh be x.
Now as Ramesh saves 24% of his salary that means $24\% \times x$ .
Also, given that Ramesh saves Rs.1440.
This implies that $24\% \times x = 1440$
Solving further we get-
$
  \dfrac{{24}}{{100}} \times x = 1440 \\
   \Rightarrow 24x = 144000 \\
  \therefore x = \dfrac{{144000}}{{24}} = 6000 \\
 $
Therefore, the salaries of Ramu and Ramesh is Rs.6000
Now as given in question Ramu saves 14% of his salary.
So, his expenditure will be $ = (100\% - 14\% )x = 86\% x$
Put the value of x we get-
$
  86\% x = 86\% \times 6000 \\
   = \dfrac{{86}}{{100}} \times 6000 = 5160 \\
 $
So, Ramu’s expenditure is Rs.5160.
Hence the correct option is B.

Note – Whenever such types of questions appear then always write down the things given in the question. Then, as given in the question the salaries are equal, so let the salaries be x. Then by using the information given in the question find the value of x. Then as given in the question Ramu saves 14% of salary, so his expenditure will be (100% - 14%) of x.