Question

the monthly salaries of two persons are in the ratio 3:5.if each receives an increase of rs.200 in monthly salary.the new ratio is 13:21.find their original salaries​

Answer 1

Answer:

The original salaries of both the persons is :

₹2,400 & ₹4,000

Step-by-step explanation:

Question says that, two persons salaries are in ratio 3 : 5. If there salaries are increased by ₹200 the new ratio of their salaries will be 13 : 21. So, find their original salaries.

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Step 1 :

Let's consider,their salaries as ‘3x’ and ‘5x’ respectively.

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Step 2 :

After increasing ₹200 in their salaries :

New salaries are :

→ (3x + 200)

→ (5x + 200)

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Step 3 :

Now, their salary ratio turns to 13 : 21 ✔

★ According to the question :

$\implies\frac{3x + 200}{5x + 200}= \sf \frac{13}{21}$

$\implies 21(3x + 200) = 13(5x + 200)$

$\implies 63x + 4200 = 65x + 2600$

$\implies 4200 - 2600 = 65x - 63x$

$\implies 1600 = 2x$

$\implies \frac{1600}{2}= x$

$\implies 800 = x$

∴ The value of ‘x’ is ₹800

Hence, the original salaries of both the person will be :

➪ 3x = 3(800) = ₹2,400

➪ 5x = 5(800) = ₹4,000

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