Question

Rahul spends 60% of the money that
be receives every month and saves rs.1400.
How much money does he get monthly.​

Answer 1

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

Here, the question has given that Rahul spends 60% of the money that he receives every month and saves Rs. 1400 and has asked us to find out his monthly salary.

ANSWER:-

• He gets Rs 3,500 monthly.

GIVEN:-

• Expenditure of Rahul of his salary = 60%
• Savings of his Rahul = Rs. 1400

TO FIND:-

• Money he gets monthly = ?

FORMULA:-

✪ His monthly salary = 100 × His savings / Saving%

SOLVING STEP BY STEP:-

⬤ Let the total money be x

⬤ His saving = 40%

⬤ Monthly salary = 100 × 1400 / 40

⬤ Monthly salary = 140000 / 40

⬤ Monthly salary = 140000 / 40 = 3,500

⬤ Monthly salary = Rs 3,500

Hence, we got our answer. His monthly salary is Rs 3,500.

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Answer 2

Answer:

⠀⠀⠀⌬ Spends = 60%

⠀⠀⠀⌬ Saving = Rs. 1400

⠀⠀⠀⌬ How much money he get monthly?

Let the money he get monthly be n

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Saving=1400\\\\\\:\implies\sf Total-Spend=1400\\\\\\:\implies\sf n-(60\%\:of\:n)=1400\\\\\\:\implies\sf n-\dfrac{60n}{100}=1400\\\\\\:\implies\sf \dfrac{100n-60n}{100}=1400\\\\\\:\implies\sf \dfrac{40n}{100}=1400\\\\\\:\implies\sf \dfrac{4n}{10}=1400\\\\\\:\implies\sf n =1400 \times \dfrac{10}{4}\\\\\\:\implies\sf n = 350 \times 10\\\\\\:\implies\sf n = Rs.\:3500$

⠀

$\therefore\:\underline{\textsf{Hence, Rahul gets \textbf{Rs. 3500} monthly}}.$

$\rule{200}{1}$

Shortcut Trick

We know that monthly income/pocket money gets distributed into two groups further i.e. Expenditure and Saving.

So we always take Income as 100% and distribute Expenditure and Saving into it.

A.T.Q

⇢ Saving ≡ 1400

⇢ (Income - Spend) ≡ 1400

⇢ (100% - 60%) ≡ 1400

⇢ 40% = 1400

• Dividing both by 10

⇢ 4% = 140

• Multiplying both by 25

⇢ 100% = 3500

⠀

& we know that 100% is income monthly.

∴ Hence, Rahul gets Rs. 3500 monthly.