Question

A man spends 40% of his monthly salary on food, 20% on movies, 10% on rent and 15% on travel. If he saves ₹3000 in the month, then his monthly salary is ​

Answer 1

Step-by-step explanation:

Check your answer

Answer 2

Given :

Total money saved in a month : ₹3000

Money spent on Food : 40%

Money spent on Movies : 20%

Money spent on rent : 10%

Money spent on travelling : 15%

To find :

The total monthly salary of the man.

Solution :

First, we should find the percent of money saved by the man in a month.

Percent of money saved in a month :

$\sf \dashrightarrow 100 - (40 + 20 + 10 + 15)$

$\sf \dashrightarrow 100 - (60 + 25)$

$\sf \dashrightarrow 100 - 85$

$\sf \dashrightarrow 15\%$

Now, we can find the total monthly salary of the man.

Total monthly salary :

Let the total salary of the person be y.

$\sf \dashrightarrow 15\% \: of \: y = 3000$

$\sf \dashrightarrow 15\% \times y = 3000$

$\sf \dashrightarrow \dfrac{15}{100} \times y = 3000$

$\sf \dashrightarrow \dfrac{3}{20} \times y = 3000$

$\sf \dashrightarrow \dfrac{3y}{20} = 3000$

$\sf \dashrightarrow 3y = 3000(20)$

$\sf \dashrightarrow 3y = 60000$

$\sf \dashrightarrow y = \dfrac{60000}{3}$

$\sf \dashrightarrow y = 20000$

Hence, the total monthly salary of the man is ₹20000.