A man sold two home for Rs195500each.he gained 15%on one home and lost15%on the other.find his gain or loss%.
1/1.15 + 1/0.85 = 2.046
So, he gained 4.6%
A man sold two home for Rs195500each.he gained 15%on one home and lost15%on the other.find his gain or loss%.
To find out the overall gain or loss percentage, we need to calculate the total cost price and the total selling price of the homes.
Let's first find out the cost price and selling price of each home separately.
For the home on which he gained 15%:
Selling price = Rs 195,500
Gain percentage = 15%
Let's calculate the cost price of this home:
Let the cost price of this home be x.
Selling price = Cost price + Gain
195,500 = x + (15/100)x
195,500 = x + (15/100)x
195,500 = (x * (115/100))
195,500 = (x * (23/20))
To find x, we can divide both sides of the equation by (23/20):
x = (195,500 * (20/23))
x = 170,000
So, the cost price of the home on which he gained 15% is Rs 170,000.
Now, let's find out the cost price and selling price of the home on which he lost 15%:
Selling price = Rs 195,500
Loss percentage = 15%
Let's calculate the cost price of this home:
Let the cost price of this home be y.
Selling price = Cost price - Loss
195,500 = y - (15/100)y
195,500 = y - (15/100)y
195,500 = (y * (85/100))
195,500 = (y * (17/20))
To find y, we can divide both sides of the equation by (17/20):
y = (195,500 * (20/17))
y = 230,000
So, the cost price of the home on which he lost 15% is Rs 230,000.
Now, to find the overall gain or loss percentage:
Total cost price = Cost price of first home + Cost price of second home
Total cost price = Rs 170,000 + Rs 230,000
Total cost price = Rs 400,000
Total selling price = Selling price of first home + Selling price of second home
Total selling price = Rs 195,500 + Rs 195,500
Total selling price = Rs 391,000
Overall gain/loss = (Total selling price - Total cost price) / Total cost price
Overall gain/loss = (391,000 - 400,000) / 400,000
Overall gain/loss = -9,000 / 400,000
Overall gain/loss = -0.0225
To represent the overall gain/loss as a percentage, multiply by 100:
Overall gain/loss percentage = (-0.0225) * 100
Overall gain/loss percentage = -2.25%
Therefore, the man has a loss of 2.25% on the two homes combined.