Question

the ratio of monthly income to the saving of a family is 7 ratio 2 if the saving be Rs 500 find the income and expenditure

Answer 1

let Income=7A,
Savings=2A,

then
expenditure=7A-2A=5A,

A.T.Q
2A=500,

A=250,

then
income=7×250=1750 rs,

expenditure=5×250=1250 rs.

Answer 2

$\mathfrak{Question:}$

The ratio of monthly income to the saving in a family is 7:2 if the savings be Rs.500,find the income and the expenditure ?​

$\mathfrak{Solution:}$

Let the monthly income and saving in a family be Rs. 7x and Rs. 2x respectively.

$\mathfrak{Given\;in\;the\;question:}$

• The savings of the family = Rs. 500.

$\mathfrak{According\;to\;question:}$

$\implies\tt{2x = 500}\\\\\\\implies\tt{x=\dfrac{500}{2}}\\\\\therefore\qquad \tt{x=250.}\\\\\\\boxed{\textsf{Expenditure = Total income - Saving}}\\\\\\\tt{So}$

$\boxed{\boxed{\mathsf{Expenses=7x-2x=5x=5*250=Rs.1250.}}}$

$\boxed{\boxed{\mathsf{Income=7x=7*250=Rs.1750.}}}$