Question

the monthly salaries of two person are in the ratio of 3:5.if each receives an increase of rs 20 in salary, the ratio is altered to 13:21.find the respective salaries​

Answer 1

Given : The monthly salaries of two person are in the ratio of 3:5. If each receives an increase of Rs 20 in salary, the ratio is altered to 13:21.

To Find : What are the salaries?

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❍ Let us assume, that the salary of first and second person is 3x and 5x respectively.

☆ According to the question,

☞ $\sf{ \dfrac{3x + 20}{5x + 20} = \dfrac{13}{21} }$

☞ $\sf{21(3x + 20) = 13(5x + 20) }$

☞ $\sf{63x + 420 = 65x + 260}$

☞ $\sf{420 - 260 = 65x - 63x}$

☞ $\sf{2x = 160}$

☞ $\sf{x = \cancel\dfrac{160}{2} }$

☞ $\sf{x = 80}$

Therefore, the salaries are :

➲ First person = 3x = Rs 240

➲ Second Person = 5x = Rs 400

Answer 2

$\huge \bold \red{AnsWer}$

Let their salaries be 3x and 5x.

According to the question,

(3x + 20) ÷ (5x + 20) = 13/21

21 (3x + 20) = 13 (5x + 20)

63x + 420 = 65x + 260

420 - 260 = 65x - 63x

160 = 2x

x = 80

3x = 3×80 = 240

5x = 5×80 = 400

Therefore, the respective salaries are Rs. 240 and Rs. 400