Question

1. A man got a 10% increase increase increase in his salary. salary. salary. If his new salary is

₹

1,54,000, find 1,54,000, find his original original

salary.8​

Answer 1

Answer:

Rs.1,40,000

Step-by-step explanation:

Let is original salary be x.so,

$x + 10\% \: of \: x = 154000 \\ \frac{11x}{10} = 154000 \\ 11x = 1540000 \\ x = 140000$

Answer 2

Correct Question

A man got a 10% increase in his salary. If his new salary is ₹154000, find his original salary.

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Given

• Percentage of Increase in Salary → 10%
• New Salary → ₹154000

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To Find

• Original Salary

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Solution

Let's consider his original salary to be 'x'.

Let's find the amount of increase in salary.

Amount Increased = New Salary - Original Salary  

Amount Increased = 154000 - x

∴ The amount of salary increased is 154000 - x

Now let's use this formula to find the original salary ⇒ $Increase \% = \dfrac{Increase}{Original \ Value} \times 100$

⇒ $10 = \dfrac{154000-x}{x} \times 100$

Let's solve the equation step-by-step.

$10 = \dfrac{154000-x}{x} \times 100$

Step 1: Flip the equation.

⇒ $10 = \dfrac{154000-x}{x} \times 100$

⇒ $\dfrac{154000-x}{x} \times 100=10$

Step 2: Divide 100 from both sides of the equation.

⇒ $\dfrac{154000-x}{x} \times 100\div 100 =10\div 100$

⇒ $\dfrac{154000-x}{x}=10\times \dfrac{1}{100}$

⇒ $\dfrac{154000-x}{x}=\dfrac{10}{100}$

⇒ $\dfrac{154000-x}{x}=\dfrac{1}{10}$

Step 3: Cross multiply.

⇒ $\dfrac{154000-x}{x}=\dfrac{1}{10}$

⇒ $10(154000-x)=1(x)$

⇒ $1540000-10x=x$

Step 4: Add 10x to both sides of the equation.

⇒ $1540000-10x+10x=x+10x$

⇒ $1540000=11x$

Step 5: Divide 11 from both sides of the equation.

⇒ $\dfrac{1540000}{11} = \dfrac{11x}{11}$

⇒ $140000=x$

∴ His original salary is ₹140000

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