ramesh sold a tv set for rs 2,100. on selling this tv he gained a profit of 40%. find the cost price of tv set.
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Question :
Ramesh sold a TV set for rs 2,100. On selling this TV, he gained a profit of 40%. Find the cost price of TV set.
Answer :
Option C) Rs.1500 is the correct answer
The Cost Price of the TV set is Rs.1500.
Given ;
Selling price (S.P) of the TV set = Rs.2100
Profit % = 40
To find :
The cost price (CP) of the TV set
Solution :
Let the Cost Price of the TV be Rs.x
Hence, profit = Selling price - Cost price
= Rs.(2100 - x)
We know that ,
Profit % = (Profit / C.P) × 100
=> 40 = (2100-x/x ) × 100
=> 40 / 100 = (2100-x) /x
=> 2/5 = (2100-x) /x
=> 2x / 5 = 2100 - x
=> 2x / 5 + x = 2100
=> (2x+5x)/5 = 2100
=> 7x/5 = 2100
=> 7x = 2100 × 5
=> 7x = 10500
Hence, x = 10500/7
x = 1500
Hence, the Cost Price of the TV set is Rs.1500.
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