Question

A man receives an annual salary of ₹185000 in year 2009. This is 25% more than his salary in year 2008 what was the annual salary in year 2008 ?​

Answer 1

SOLUTION :

❖ Given :-

• Annual salary in the year 2009 = Rs. 185000

• Annual salary in the year 2009 is 25% more than annual salary in the year 2008

❖ To Find :-

• Annual salary in the year 2008 = ?

❖ Calculation of the annual salary in the year 2008 :-

Suppose,

• The annual salary in the year 2008 was Rs. X

Then,

• Annual salary in the year 2009 will be = Rs. (X + 25% of X)

According to Question,

$\bigstar \: \: \: \sf{X + 25\% \: \: of \: \: X = 185000} \\ \\ \sf{\implies \: X + (\dfrac{25}{100}) \times X = 185000} \\ \\ \sf{\implies \: X + \dfrac{25\: X}{100} = 185000 } \: \: \: \: \: \: \: \: \: \\ \\ \sf{\implies \: \dfrac{100 \: X + 25 \: X}{100} = 185000} \: \: \\ \\ \sf{\implies \: \dfrac{125 \: X }{100} = 185000} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{\implies \: 125 \: X = 185000 \times 100} \: \: \: \: \: \\ \\\sf{\implies \: 125 \: X = 18500000} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{\implies \: X = \dfrac{18500000}{125} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \therefore \: X = 148000} \: \: \: \: \: \: \: \: \: \:$

• Hence, the annual salary in the year 2008 was Rs. 148000.

$\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

ANSWER :

➯ If a man receives an annual salary of Rs. 185000 in year 2009 and this is 25% more than his salary in year 2009, then the annual salary in year 2008 was Rs. 148000.