Company sends 3,000 bales of cotton to its consignee Modi G at a profi...
Calculation of Commission:
Given:
- Quantity of bales sent = 3,000
- Profit on I.P. = 25%
- Cost price per bale = `1,500
- Commission on invoice price = 10%
- Commission on amount realized above invoice price = 20%
- Del-credere commission = 3%
- Quantity of bales sold = 1,800
- Selling price per bale = 30% above invoice price
Step 1: Calculate the Invoice Price (I.P.)
The company sells the bales at a profit of 25% on I.P.
Let's assume the I.P. per bale = X
Profit on I.P. = 25%
Profit = 25% of X
Profit = 0.25X
Selling price per bale = I.P. + Profit
Selling price per bale = X + 0.25X
Selling price per bale = 1.25X
But it is given that the cost price per bale to the company is `1,500.
Therefore,
1.25X = `1,500
X = `1,500 / 1.25
X = `1,200
So, the Invoice Price per bale is `1,200.
Step 2: Calculate the Commission on Invoice Price
Commission on invoice price = 10% of I.P.
Commission on invoice price = 10% of `1,200
Commission on invoice price = 0.1 * `1,200
Commission on invoice price = `120
Step 3: Calculate the Amount Realized Above Invoice Price
The selling price per bale is 30% above the invoice price.
Let's assume the selling price per bale = Y
Selling price per bale = Invoice price + 30% of Invoice price
Y = `1,200 + 0.3 * `1,200
Y = `1,200 + `360
Y = `1,560
Amount realized above invoice price = Selling price - Invoice price
Amount realized above invoice price = Y - `1,200
Amount realized above invoice price = `1,560 - `1,200
Amount realized above invoice price = `360
Step 4: Calculate the Commission on Amount Realized Above Invoice Price
Commission on amount realized above invoice price = 20% of Amount realized above invoice price
Commission on amount realized above invoice price = 20% of `360
Commission on amount realized above invoice price = 0.2 * `360
Commission on amount realized above invoice price = `72
Step 5: Calculate the Del-Credere Commission
Del-credere commission = 3% of Invoice price
Del-credere commission = 3% of `1,200
Del-credere commission = 0.03 * `1,200
Del-credere commission = `36
Step 6: Calculate the Total Commission
Total commission = Commission on invoice price + Commission on amount realized above invoice price + Del-credere commission
Total commission = `120 + `72 + `36
Total commission = `228
Commission Calculation Summary:
- Commission
Company sends 3,000 bales of cotton to its consignee Modi G at a profi...
Calculation of Commission:
Step 1: Calculation of Cost Price of 1 Bale:
Given that the company sells each bale at a profit of 25% on I.P. and the cost price of each bale to the company is `1,500, we can calculate the invoice price (I.P.) as follows:
Profit on I.P. = 25%
Cost Price (C.P.) = `1,500
I.P. = C.P. + Profit on I.P.
I.P. = `1,500 + (25/100) * `1,500
I.P. = `1,500 + `375
I.P. = `1,875
Step 2: Calculation of Commission on Invoice Price (I.P.):
Modi G is entitled to a commission of 10% on the invoice price. Therefore, the commission on the I.P. for 1,800 bales can be calculated as follows:
Commission on I.P. = 10% of I.P.
Commission on I.P. = (10/100) * I.P.
Commission on I.P. = (10/100) * `1,875
Commission on I.P. = `187.50
Step 3: Calculation of Commission on Amount Realized above Invoice Price:
Modi G is entitled to a commission of 20% on the amount realized above the invoice price. Given that 1,800 bales were sold at 30% above the invoice price, we can calculate the commission on the amount realized above the I.P. as follows:
Amount Realized = I.P. + (30/100) * I.P.
Amount Realized = `1,875 + (30/100) * `1,875
Amount Realized = `1,875 + `562.50
Amount Realized = `2,437.50
Commission on Amount Realized = 20% of (Amount Realized - I.P.)
Commission on Amount Realized = (20/100) * (`2,437.50 - `1,875)
Commission on Amount Realized = (20/100) * `562.50
Commission on Amount Realized = `112.50
Step 4: Calculation of Del-credere Commission:
Modi G is entitled to a del-credere commission of 3% on the amount realized. Therefore, the del-credere commission can be calculated as follows:
Del-credere Commission = 3% of Amount Realized
Del-credere Commission = (3/100) * `2,437.50
Del-credere Commission = `73.13
Total Commission:
The total commission earned by Modi G can be calculated by adding the commissions on the invoice price, amount realized above the invoice price, and the del-credere commission:
Total Commission = Commission on I.P. + Commission on Amount Realized + Del-credere Commission
Total Commission = `187.50 + `112.50 + `73.13
Total Commission = `373.13
Therefore, Modi G's commission for selling 1,800 bales at 30% above the invoice
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