Question

The ratio of monthly income to the savings in a family is 5:4if the savings be Rs.9000,find the income and the expenses?​

Answer 1

$\mathfrak{Question:}$

The ratio of monthly income to the savings in a family is 5:4 if the savings be Rs.9000,find the income and the expenses ?​

$\mathfrak{Solution:}$

Let the monthly income and savings in a family be Rs. 5x and Rs. 4x respectively.

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

• The savings of the family = Rs. 9000.

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

$\implies\tt{4x = 9000}\\\\\\\implies\tt{x=\dfrac{9000}{4}}\\\\\therefore\qquad \tt{x=2250.}\\\\\\\boxed{\textsf{Expenses = Total income - Savings}}\\\\\\\tt{So}$

$\boxed{\boxed{\mathsf{Expenses=5x-4x=x=Rs.2250.}}}$

$\boxed{\boxed{\mathsf{Income=5x=5*2250=Rs.11250.}}}$

Answer 2

Answer:

$\underline{ \underline{ \sf \maltese\:{Given:-}}}$

• Ratio of income to savings = 5:4
• Savings = $9000

$\underline{ \underline{ \sf \maltese \:{To \: find:-}}}$

• Income
• Expenses

$\underline{ \underline{ \sf \maltese \:{Solution:-}}}$

Let:-

• The income = 5x
• The savings = 4x

∴ 4x = 9000

⇒ x = $\dfrac{\cancel{9000}}{\cancel{4}}$

⇒ x = 2250

∴ The monthly income = 5x = 5 × 2250 = $11250

∴ the expenses = Income - savings = $2250