Question

A man got a 10% increase in his salary .if his new salary is Rs.1,54,000. Find his original salary.​

Answer 1

Step-by-step explanation:

Let the salary before the increment be Rs.100. Then,

Increase in salary =Rs.10

∴ Increased salary =Rs.(100+10)=Rs.110

If increased salary is Rs. 110, original salary =Rs.100

If increased salary is Rs. 154000, original salary =Rs.(

110

100

×154000)=Rs.140000

Hence, the salary of the man before increment was Rs.140000.

Answer 2

Answer:

Rs.140000

Step-by-step explanation:

Let the original salary be x.

New salary = Rs.154000

{ Original Salary + Increment = New Salary }

But, its given that the increment is 10% of the original salary so:

$x$ + $\frac{10}{100}$ x

$x$ + $\frac{10x}{100}$ = 154000 [ Here we multiplied the x with$\frac{10}{100}$ ]

$\frac{100x}{100}$ + $\frac{10x}{100}$ = 154000 [ Here we did the LCM method to get $\frac{100x}{100}$ in order to add                                                      

                                                                                                    the equation.]

$\frac{110x}{100}$ = 154000 [ Here we added the equation]

$x$ = $\frac{154000}{110}$ x 100 [ Here when you transpose  $\frac{110}{100}$  the right side it becomes

                         $\frac{154000}{110}$ x 100]

$x$ = 140000

Therefore, The original salary was Rs.140000

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