a man bought a piece of land for rs 15000.he sold 1/3 of the land at loss 5% and what gain % should he sell the remaining to gain 8% on the whole.
11,450-10,000 = $1450 = profit on the remaining 2/3.
1450/10,000 * 100% = 14.5 % = Gain % on remaining 2/3.
I cannot understand that answer given by you.
To find the gain percentage at which the man should sell the remaining land to gain 8% on the whole, let's break down the problem into smaller steps:
Step 1: Calculate the cost price of the land sold at a loss.
The man sold 1/3 of the land at a loss of 5%.
Let's assume the cost price of the whole land is "CP".
The cost price of the land sold at a loss can be calculated as follows:
Cost price of land sold at a loss = 1/3 * CP
Step 2: Calculate the selling price of the land sold at a loss.
We know that the selling price is calculated using the formula:
Selling price = Cost price - Loss
Since the loss percentage is 5%, the selling price of the land sold at a loss can be calculated as follows:
Selling price of land sold at a loss = Cost price - (5/100) * Cost price
Step 3: Calculate the remaining cost price.
The remaining cost price can be calculated by subtracting the cost price of the land sold at a loss from the total cost price of the land:
Remaining cost price = CP - (1/3 * CP)
Step 4: Calculate the total selling price required to gain 8% on the whole.
To gain 8% on the whole, the total selling price should be 108% of the total cost price.
Let's assume the selling price of the remaining land required to gain 8% is SP.
The equation can be written as follows:
Total selling price = 108% of total cost price
SP + Selling price of land already sold = 1.08 * CP
Step 5: Calculate the selling price of the remaining land.
Now, let's rearrange the equation from Step 4 to calculate the selling price of the remaining land:
SP = 1.08 * CP - Selling price of land already sold
Step 6: Calculate the gain percentage for selling the remaining land.
The gain percentage can be calculated using the formula:
Gain percentage = (Profit / Cost price) * 100
Since the profit is calculated as the difference between the selling price and the remaining cost price, we have:
Gain percentage = ((SP - Remaining cost price) / Remaining cost price) * 100
Now, let's plug in the values and calculate the gain percentage:
CP = 15000
Step 1: Cost price of land sold at a loss:
Cost price of land sold at a loss = (1/3) * 15000 = 5000
Step 2: Selling price of land sold at a loss:
Selling price of land sold at a loss = 5000 - (5/100) * 5000 = 4750
Step 3: Remaining cost price:
Remaining cost price = 15000 - 5000 = 10000
Step 4: Total selling price required to gain 8% on the whole:
(1/3) * 15000 + SP = 1.08 * 15000
5000 + SP = 16200
SP = 16200 - 5000 = 11200
Step 5: Selling price of the remaining land:
SP = 11200 - 10000 = 1200
Step 6: Gain percentage for selling the remaining land:
Gain percentage = ((1200 - 10000) / 10000) * 100
Gain percentage = (-8800 / 10000) * 100
Gain percentage = -88%
Therefore, the man should sell the remaining land at a gain percentage of -88% to gain 8% on the whole.
15,000/3 = $5,000 = selling price to break even.
0.95 * 5000 = $4750 = selling price.
Loss = 5000-4750 = $250.
10,000 + 250 = $10,250 = selling price to break even.
15,000 * 1.08 = $16,200 = total selling price for 8% profit.
16,200-4750 = $11,450 = Selling price of the remaining 2/3 for 8% total profit.