Question

A man spends 1/3 of his salary on food 1/5 of his salary on house rent 1/4 of his salary on health 1/7 of his salary on clothes He as Rs.15500 left with him.find his salary.

Answer 1

Answer:

His  salary is Rs. 210000

Step-by-step explanation:

Let the salary of the man be Rs. x

Spendings on food $=\frac{x}{3}$

Spendings on house rent $=\frac{x}{5}$

Spendings on health $=\frac{x}{4}$

Spendings on clothes $=\frac{x}{7}$

Amount remaining after spendings = Rs.15500

As per given data,

$\frac{x}{3}+\frac{x}{5}+\frac{x}{4}+\frac{x}{7}+15500=x$

$\frac{x}{3}+\frac{x}{5}+\frac{x}{4}+\frac{x}{7}=x-15500$

$\frac{140x+84x+105x+60x}{420}=x-15500$

$\frac{389x}{420}=x-15500$

$389x=420(x-15500)$

$389x=420x-(420*15500)$

$420*15500=420x-389x$

$420*15500=31x$

$x=\frac{420*15500}{31}$

$x=420*500$

$x=210000$

His salary is Rs. 210000

Answer 2

Answer :

His Salary = ₹210000

Explanation :

Assuming the salary of them man as "y"

Now ,

His spend on food = y/3

His spend on House Rent = y/5

His spend on health = y/4

His spend on clothes = y/7

Amount left at the end of all the spends = ₹15500

Now , According to the question :-

=> y/3 + y/5 + y/4 + y/7 + 15500 = y

=> y/3 + y/5 + y/4 + y/7 = 15500 - y

=> 140y + 84y + 105y + 60y/420 = y - 15500

=> 389y/420 = y - 15500

=> 389y = 420(y - 15500)

=> 389y = 420y ( 420 ×15500 )

=> 420 × 15500 = 420y - 389y

=> 420 × 15500 = 31y

=> y = 420 × 15500/31

=> y = 420/500

=> y = 210000