Question

37% of Kevin's salary is swallowed up in a loan installment. 75% of the remaining salary is spent on
living expenses. He is left with $7,560. What is his salary?​

Answer 1

Step-by-step explanation:

hope this is your answer

Answer 2

Kelvin's salary is $48,000.

Given,

From Kelvin's salary,

37% is spent on a loan installment,

then, 75% of the remaining is spent on living expenses.

He is left with $7,560.

To find,

Kelvin's salary.

Solution,

Firstly, let Kelvin's salary be $x.

Now, according to the question, 37% is spent on a loan installment. So,

Amount spent on loan installment

$=\frac{37}{100} x$

The salary remaining with Kelvin

$=x-\frac{37}{100} x$

$=\frac{100-37}{100} x$

$=\frac{63}{100} x$

Out of the remaining salary, he spends 75% on living expenses. Thus,

Amount spent on living expenses

$=\frac{75}{100} \times \frac{63}{100} x$

Now, the amount, he is left with will be

$=\frac{63}{100} x-\frac{75}{100} \times \frac{63}{100} x$

$=\frac{63}{100} x \times (1-\frac{75}{100} )$

$=\frac{63}{100} x \times (\frac{100-75}{100} )$

$=\frac{63}{100} x \times \frac{25}{100} \hfill ...(1)$

It is given that the amount he is left with is $7,560.

So the above equation (1) must be equal to $7,560.

Thus,

$\frac{63}{100} x \times \frac{25}{100} =7560$

Simplifying the above equation,

$\frac{1}{4} \times \frac{63}{100} x =7560$

$\implies x=\frac{7560 \times 400}{63}$

$\implies x=120 \times 400$

$\implies x = 48000.$

⇒ Kevin's salary = $48000.

Therefore, Kelvin's salary is $48,000.

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