All questions of Profit, Loss and Discount for Class 8 Exam
Understanding the Cost Price and Marked Price
The cost price (CP) of an item is the amount paid to purchase it. In this case, the CP is ₹600. When an item is marked up, it means that the selling price is increased by a certain percentage over the cost price.
Calculating the Marked Price
To find the marked price (MP) when there is a markup of 30%, follow these steps:
- Determine the Markup Amount:
- The markup amount is calculated by multiplying the cost price by the markup percentage.
- Markup Amount = CP × Markup Percentage
- Markup Amount = 600 × 30/100 = ₹180
- Calculate the Marked Price:
- The marked price is the cost price plus the markup amount.
- MP = CP + Markup Amount
- MP = 600 + 180 = ₹780
Conclusion
Therefore, the marked price of the item after a 30% markup on the cost price of ₹600 is ₹780. The correct answer is option 'D'.
Key Takeaways
- Cost Price (CP): ₹600
- Markup: 30%
- Marked Price (MP): ₹780
This calculation demonstrates how to effectively apply percentage increases to determine the selling price of an item based on its cost price.
Tax = Total Amount - Selling Price = ₹848 - ₹800 = ₹48. Thus, Tax Rate = (Tax / Selling Price) × 100 = (48 / 800) × 100 = 6%. This understanding is essential for both businesses and consumers in assessing final costs.
VAT stands for Value Added Tax, which is a tax levied on the value added to goods and services at each stage of production or distribution. Understanding VAT is vital for compliance and pricing strategies in business.
The loss percentage is calculated by the formula Loss % = (Loss / Cost Price) × 100. This metric helps in evaluating the extent of financial loss in transactions.
The total amount payable, including tax, is calculated by adding the tax to the selling price (Total Amount = Selling Price + Tax). This is crucial for customers to understand total costs incurred.
The selling price can be calculated using the formula S.P. = C.P. × (1 + Profit %). This formula is essential for setting prices in a way that ensures profitability.
Loss occurs when the selling price is lower than the cost price, and the formula used is Loss = Cost Price - Selling Price. Understanding this helps businesses avoid making unprofitable sales.
Discount = 15% of ₹600 = ₹90. Selling Price = Marked Price - Discount = ₹600 - ₹90 = ₹510. This calculation helps consumers understand the savings they receive from discounts.
Profit = Selling Price - Cost Price = ₹120 - ₹100 = ₹20. The profit percentage is calculated as (Profit / Cost Price) × 100 = (20 / 100) × 100 = 20%. This percentage helps assess the profitability of the sale.
VAT = (10 / 100) × ₹1,000 = ₹100. This amount represents the tax collected on the sale, which the business must remit to the government.
Loss = 10% of ₹200 = ₹20. Selling Price = Cost Price - Loss = ₹200 - ₹20 = ₹180. This calculation is crucial for pricing strategies in sales.
Discount = 20% of ₹1,000 = ₹200. Selling Price = Marked Price - Discount = ₹1,000 - ₹200 = ₹800. Discounts enhance sales by making items more affordable.
Profit is determined when the selling price exceeds the cost price. Thus, the correct formula is Profit = Selling Price - Cost Price. This calculation helps businesses understand their financial gains from transactions.
Since profit = 25% of C.P., we can express Selling Price as S.P. = C.P. × (1 + Profit %) = C.P. × (1 + 0.25). Thus, 500 = C.P. × 1.25, giving C.P. = ₹500 / 1.25 = ₹400.
Tax = (5/100) × ₹500 = ₹25. Total amount = Selling Price + Tax = ₹500 + ₹25 = ₹525. This calculation is important for businesses to ensure accurate pricing for customers.
Cost price refers to the original price paid for a product, while transportation, labor, and packaging are examples of overhead expenses incurred in acquiring and selling products.
The total cost price is calculated by adding overhead expenses to the actual cost price (Total C.P. = Actual C.P. + Overhead expenses). This helps businesses in understanding the complete cost involved in selling a product.
The marked price is defined as the price before any discounts are applied. It represents the original price set by the seller, which may be subject to discounts to attract buyers.
A discount decreases the selling price from the marked price, making products more attractive to consumers and potentially increasing sales volume.
Gain = Selling Price - Total Cost Price = ₹1,200 - ₹1,000 = ₹200. Gain % = (Gain / Total C.P.) × 100 = (200 / 1,000) × 100 = 20%. This percentage reflects the efficiency of the business operation.