Question

the monthly salaries of two persons are in the ratio 3 : 5 if each receives an increase of rupees 20 in the monthly salary the ratio is altered to 13 : 21 find their salaries

Answer 1

Answer:

Hi mate.. Here's ur answer

Let the monthly salaries of the two persons be x.

Therefore, 3x and 5x

Therefore A. T. P

(3x+20)

______ = 13:21 [Increased by 20]

(5x+20)

=> 3x+20 13

______ = __

5x+20 21

=> 21(3x+20) = 13(5x+20) [Cross multiplication]

=> 63x + 420 = 65x + 260

=> 63x - 65x = 260 - 420

=> -2x = -160 [Here we cancel the minus]

=> x = 160

___

2

Therefore x = 80

Thus, 3x = 3*80

= 240

5x = 5*80

= 400

Hence, Rs. 240 and Rs. 400.

Hᴏᴘᴇ Iᴛ Hᴇʟᴘs..

Answer 2

Their salaries are $Rs.240$ and $Rs.400$.

Definition of ratio :

• A ratio in mathematics denotes the number of times one number contains another.
• In a bowl of fruit, for example, if there are eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Solution -

Let, the monthly salary of two-person be $"x"$.

Therefore, $3:5 = 3x : 5x$.

An increase in the salary of both people is $Rs.20$.

Change is salaried ratio is $13:21$.

$3x+20 / 5x + 20 = 13 / 21\\\\13 ( 5x + 20 ) = 21 ( 3x + 20 )\\\\ 63x + 420 = 65x + 260\\ 63x - 65x = 260 - 420\\ -2x = -160\\2x = 160\\x = 80$

Therefore,

$3x = 240\\5x = 400$

So, their salaries are $Rs.240$ and $Rs.400$.

#SPJ2