A man sells two horses for Rs.1955 each. On one he gains 15% and on the other he loses 15%, His total gain or loss is
Question
A man sells two horses for Rs.1955 each. On one he gains 15% and on the other he loses 15%, His total gain or loss is
Solution
First, let's calculate the cost price of each horse.
For the horse that the man made a gain on: Let's denote the cost price of this horse as X. Since he made a 15% gain on this horse, we can write the equation as: X + 15% of X = Rs.1955 Or, 1.15X = Rs.1955 So, X = Rs.1955 / 1.15 = Rs.1700
For the horse that the man had a loss on: Let's denote the cost price of this horse as Y. Since he had a 15% loss on this horse, we can write the equation as: Y - 15% of Y = Rs.1955 Or, 0.85Y = Rs.1955 So, Y = Rs.1955 / 0.85 = Rs.2300
Now, let's calculate the total cost price and total selling price: Total cost price = X + Y = Rs.1700 + Rs.2300 = Rs.4000 Total selling price = 2 * Rs.1955 = Rs.3910
Since the total selling price is less than the total cost price, the man had a loss. The amount of loss = Total cost price - Total selling price = Rs.4000 - Rs.3910 = Rs.90
So, the man had a loss of Rs.90.
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