A man spends in 4 months what he earns in 3 months ,if his annual savings be 36000,find his monthly income
Answers
Answer:
a man spend in 4 month 12000₹
he erned in 3 month 9000₹ and his monthly income is 3000₹
His monthly income is ₹12000.
• Given data :
Income of 3 months = Expense of 4 months.
Total annual income is rupees 36000.
• Let, his monthly income = ₹ x (assume x as a variable to calculate the total amount of his monthly income)
• So,his income of 3 months will be
= 3×x
= ₹ 3x
• And,as per the conditions mentioned in the question,his expense of 4 months will be
= ₹ 3x
• So,his expense of one month will be = ₹ 3x/4
• So,his monthly savings will be
= (Monthly income - Monthly expenses)
= (x- 3x/4)
= ₹ x/4
• So,his yearly savings will be
= x/4 × 12
=₹ 3x
Now, if we compare our calculated yearly savings and the yearly savings given in the question , then we will get the following equation :
3x = 36000
x = 36000/3
x = 12000
So,his monthly income is ₹12000. (Answer)