By selling a watch at Rs1500 and RS 2000, some loss and some profit are happened respectively. If the loss and profit are equal,find it's cost price.
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Correct answer:-
By selling a bag at Rs 1500 and Rs 2100, there is some loss and some profit respectively. If the loss is twice the profit, what is its cost price?
Solution:-
A bag is sold at 1500 ( at loss) and 2100 (at profit)
The loss is twice the profit
Let the profit be ‘x’
So, loss will be '2x'
Now, Selling Price = Cost - Loss or
Cost = Selling Price + Loss
and Selling Price = Cost + Profit or
Cost = Selling Price - Profit
In case of Loss,
Cost = Selling Price + Loss
Cost = 1500 + 2x
In case of Profit,
Cost = Selling Price - Profit
Cost = 2100 - x
Combining both the equations we get
1500+ 2x = 2100- x
3x = 2100 – 1500
3x = 600
x = 200
Profit = 200
Cost = Selling Price - Profit
Cost = 2100 - 200
Cost = 1900.
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