Profit And Loss

Ankit and Raju's investments are Rs. 5500 and Rs. 6500, respectively. The duration of the investment is 11 months. Their profit ratio is based on the product of investment and time.

The formula for profit is: Profit = (Investment) × (Time)

(1) Calculate their profit ratio:

Ankit's share:

Raju's share:

Ratio = 60500:71500 = 121:143

(2) Let the total profit be .

Profits according to ratio:

Ankit's profit =

Raju's profit =

The difference in their profits is :

Thus, the total profit is Rs. 8160.

To solve this problem, let's define some variables and use the given data.

1. Let the marked price of the item be .
2. The discount is 20%, implying the selling price (SP) is 80% of the marked price.

So, we have:

Given that the selling price is 504, we can write:

To find , multiply both sides by :

Now, the shopkeeper gains 5% on the cost price (CP). Hence, the selling price is 105% of the cost price.

Since the selling price is 504:

Solving for involves multiplying both sides by :

However, this doesn't match our expected result, indicating a miscalculation. To correct, reassess and follow through the steps properly:

The correct cost price should fulfill the gain equation properly:

Correct calculation states: the yields as originally calculated:

To solve the problem, we need to calculate the profit earned by the shopkeeper based on the cost price, markup, and discount.

1. Understanding the Concepts:

- Cost Price (CP): The price at which the item is purchased.
- Marked Price (MP): The price after marking up the cost price.
- Selling Price (SP): The price at which the item is actually sold after the discount.
- Profit: The difference between the selling price and the cost price.

2. Given Values:

Cost Price (CP) = Rs 2000
Markup = 50%
Discount = 20%

3. Calculating the Marked Price:

Marked Price = CP + 50% of CP = Rs 2000 + 50% of Rs 2000
= Rs 2000 + Rs 1000 = Rs 3000

4. Calculating the Selling Price:

Discount = 20% of Rs 3000 = Rs 600
Selling Price = Marked Price - Discount = Rs 3000 - Rs 600 = Rs 2400

5. Calculating the Profit:

Profit = Selling Price - Cost Price = Rs 2400 - Rs 2000 = Rs 400

Final Answer:

The profit earned by the shopkeeper is Rs 400.

To solve the problem, we need to find the profit earned by the shopkeeper after applying a markup and a discount.

1. Finding the Marked Price:
The cost price (CP) of the item is ₹2000. The shopkeeper marks up the price by 50%.
Marked Price (MP) = CP + 50% of CP

2. Applying the Discount:
A discount of 20% is given on the marked price.
Selling Price (SP) = MP - 20% of MP

3. Calculating the Profit:
Profit = SP - CP

Final Answer:
The profit earned by the shopkeeper is ₹400.

To solve the problem, we need to find the cost price of the article given the selling price after discount and the profit percentage.

1. Understanding the Concepts:

- Discount: Reduction on the marked price.
- Selling Price (SP): Price after discount.
- Profit Percentage: Percentage increase over cost price.
- Cost Price (CP): The original price before profit.
- Relationship:

2. Given Values:

- Selling price after 10% discount = Rs 1440
- Profit = 20%

3. Calculate the Marked Price (MP):

Discount = 10% → SP = 90% of MP

4. Calculate the Cost Price (CP):

Profit = 20% → SP = 120% of CP

Final Answer:

The cost price of the article is Rs 1200.

To solve the problem, we need to find the cost price of the item given the marked price, successive discounts, and the final selling price.

1. Understanding the Concepts:

- Cost Price (CP): The original price of the item.
- Marked Price (MP): Price after markup, which is 40% above CP.
- Successive Discounts: Discounts applied one after the other on the marked price.
- Selling Price (SP): Price after discounts.

2. Given Values:

- Marked price = CP + 40% of CP =
- Discounts = 10% and 20% successively
- Selling price = Rs 504

3. Calculate the Selling Price in terms of CP:

Apply the first discount of 10%: Apply the second discount of 20%: Given SP = 504, so:

Final Answer:

The cost price of the item is Rs 500.