A man purchased two TV sets for 42500 . he sold one of them at loss of 10% and other at profit of 10% .find cost price if selling price of both is same.

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Solution

Total cost of 2 TV sets = ₹42500
Let the cost of First TV set be x
Then,
Cost of second TV set = ₹(42500-x)

Selling price of First TV set = x + 10% of x
= 110x/100
Selling price of second TV set = (42500-x) - 10% of (42500-x) = 90(42500-x)/100

Selling price of First TV set = Selling price of Second TV set
.: 110x/100 = 90(42500-x)/100
11x = 9(42500-x)
= 382500 - 9x
20x = 382500
x = 19125
Cost Price of First set = ₹19125
Cost Price of Second set = ₹23375

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