1.two houses are bought for rupees 65000 each. the first is sold at a profit of 8% . if the average price received for each house is rupees 66300,find the gain or loss % on the second house.
2. a shopkeeper sells sugar in such a way that the selling price of 950gm is the same as the cost price of 1kg. find his gain %.
P1 = 1.08*65000 = 70200.
(P1+P2)/2 = 66,300
(70,200+P2)/2 = 66300
70200+P2 = 132,600
P2 = 62400
Loss = 65000-62400 = 2600
%Loss = 2600/65000 = 0.04 = 4%.
2. 1kg/0.95kg = 1.0526 = 105.26 %.
%Gain = 105.3% - 100% = 5.3%.
To calculate the gain or loss percentage on the second house, we need to first find the cost price of the second house.
Given:
Cost price of two houses = Rs 65,000 each
Average selling price for each house = Rs 66,300
Step 1: Calculate the total cost price of both houses
Total cost price = Cost price of 1st house + Cost price of 2nd house
= Rs 65,000 + Rs 65,000
= Rs 130,000
Step 2: Calculate the total selling price of both houses
Total selling price = Average selling price * Number of houses
= Rs 66,300 * 2
= Rs 132,600
Step 3: Calculate the profit or loss
Profit or loss = Total selling price - Total cost price
= Rs 132,600 - Rs 130,000
= Rs 2,600
Now, let's calculate the gain or loss percentage on the second house:
Step 4: Calculate the gain or loss percentage
Gain or loss percentage = (Profit or loss / Cost price of 2nd house) * 100
Given:
Cost price of 2nd house = Rs 65,000
Gain or loss percentage = (Rs 2,600 / Rs 65,000) * 100
= (0.04) * 100
= 4%
Therefore, the gain or loss percentage on the second house is 4%.
Moving on to the second question:
Given:
Selling price of 950g of sugar = Cost price of 1kg of sugar
Step 1: Convert the selling price to the same unit as the cost price (per kilogram)
Selling price of 950g = (950 / 1000) * Cost price of 1kg
Step 2: Calculate the gain percentage
Gain percentage = ((Selling price - Cost price) / Cost price) * 100
= ((950 / 1000) * Cost price - Cost price) / Cost price) * 100
= (0.95 * Cost price - Cost price) / Cost price) * 100
= (0.95 - 1) / 1) * 100
= -0.05 * 100
= -5%
Therefore, the shopkeeper has a loss of 5%.
1. To find the gain or loss % on the second house, we need to determine the selling price and cost price of the second house.
Let's start by calculating the selling price of the first house:
The selling price of the first house is the average price received for each house, which is given as rupees 66300.
Now, let's calculate the cost price of the first house:
Since the first house was bought for rupees 65000, there is no gain or loss on it.
Next, let's calculate the selling price of the second house:
The total selling price of both houses is the average price received for each house multiplied by the number of houses, which is 2. Therefore, the total selling price is 2 * rupees 66300 = rupees 132600.
Since we know the selling price of the first house is rupees 66300, we can subtract this from the total selling price to find the selling price of the second house: rupees 132600 - rupees 66300 = rupees 66300.
Now, let's calculate the cost price of the second house:
Since the total cost of both houses is 2 * rupees 65000 = rupees 130000, the cost price of the second house can be obtained by subtracting the cost price of the first house (rupees 65000) from the total cost: rupees 130000 - rupees 65000 = rupees 65000.
Finally, we can calculate the gain or loss % on the second house:
The gain or loss % formula is ((Selling Price - Cost Price) / Cost Price) * 100. Substitute the values to find the gain or loss % on the second house: ((rupees 66300 - rupees 65000) / rupees 65000) * 100.
By evaluating the above expression, you will get the gain or loss % on the second house.
2. To find the gain % of the shopkeeper selling sugar, we need to compare the selling price with the cost price.
Given that the selling price of 950gm is the same as the cost price of 1kg, we can say that the selling price of 1kg is the same as the cost price of 1kg.
To calculate the gain %, we need to determine the gain amount and the cost price of 1kg of sugar.
Let's assume the cost price of 1kg of sugar is rupees X.
Since the selling price of 950gm is the same as the cost price of 1kg, we can write the equation as:
950gm * Selling Price per gram = 1kg * Cost Price per gram
Simplifying this equation, we have:
950 * Selling Price = 1000 * X
Dividing both sides of the equation by 1000, we get:
Selling Price = (1000 * X) / 950
The gain amount will be the difference between the selling price and the cost price:
Gain Amount = Selling Price - Cost Price
Substituting the value of Selling Price from the above equation, we get:
Gain Amount = (1000 * X) / 950 - X
Finally, to calculate the gain %, we use the formula:
Gain % = (Gain Amount / Cost Price) * 100
Substituting the values, the formula becomes:
Gain % = ((1000 * X) / 950 - X) / X * 100
Evaluating the above expression will give you the gain % of the shopkeeper selling sugar.