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7%. Find the cost price of the article.
Varun purchased two TVs for *30000. He sold one at a loss of 15% and the other at a profi
of 19%. The selling price in both the cases was the same.
Find the cost price of each TV se



Answer :

Answer:

cost price of TV 1 = 16, 765

cost price of TV 2 = 13, 235

Step-by-step explanation:

Let the cost of TV 1 = x

let the cost of TV 2 = y

as per given:

x + y = 30,000             (1)

TV 1 is sold at a loss of 15%

i.e.

15% of x = 15x/100

x= x - 15x/100

   = 100x - 15x / 100 = 85x/100

TV 2 is sold at a profit of 19%

i.e.

19% of y = 19y/100

y = y + 19y/100

    = 100y + 19y / 100 = 119y/100

from equation (1)

x + y = 30,000

i.e.

85x/100 + 119y/100 = 30,000

85x + 119y / 100 = 30,000

85x + 119y = 30,000 * 100

85x + 119y = 3,000,000                (2)

from equation (1)

x = 30,000 - y                                (3)

substituting value of x from equation(3) into (2)

85(30,000 - y) + 119y = 3,000,000

2,550,000 - 85y + 119y = 3,000,000

34y = 4,50,000

y = 4,50,000/34 = 13,235

substituting the value of y in equation (3)

x = 30,000 - 13,235 = 16,765

thus,

cost price of TV 1 = 16, 765

cost price of TV 2 = 13, 235

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