spending annually rs.1200 for 7 years I incurred some debt which was just cleared by reducing my yearly expenses to rs.880 for 9 years. Then  Find my yearly income.

Dear Student,

Please find below the solution to the asked query:

Let , Yearly income  =  x

So, from first condition we get

Debt =  1200 $×$ 7  -  7 x ,

Debt =  8400 - 7 x                               --- ( 1 )

And from second condition we get

Amount (  Same as debt in equation 1 ) =  9 x  -  9 $×$ 880  = 9 x - 7920 , From equation 1 we get

9 x  - 7920 =  8400 - 7 x  ,

16 = 16320 ,

16 x  =  16 $×$ 1020 ,

x  =  1020

Therefore,

Yearly income  = Rs . 1020                                                  ( Ans )

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