Question

A man spends 3% of his salary to buy some books and 8% of the remaining salary on groceries. If he is left with 40,158. Find his salary​

Answer 1

Answer:

Step-by-step explanation:

Let his salary be x.

On books, he spent $\frac{3x}{100}$

Leftover: $\frac{97x}{100}$

On groceries, he spends 8% of $\frac{97x}{100}$.

Leftover is 92% of $\frac{97x}{100}$= 40158

$\frac{92}{100} *\frac{97x}{100} = 40158$

92*97x = 401580000

x= $\frac{401580000}{92*97}$

x=45000

Answer 2

Answer:  

₹45,000    

Step-by-step explanation:  

Let x be the salary of the man.

Money spent on books =  $\frac{3x}{100}$

Leftover money = $\frac{97x}{100}$  

Money spent on groceries = $\frac{8}{100}$ × $\frac{97x}{100}$  

Leftover money = $\frac{92}{100\\}$ × $\frac{97x}{100}$  = ₹ 40,158    

92 × 97x = 40158 × 10000  

           x =   $\frac{40158 * 10000}{92 * 97}$  

           x = ₹45,000  

∴ The salary of the man is ₹45,000