(A) 10% loss (8) 107 Prom (C) 15% profit (D) 12% loss Ram sells two ar...
Problem 1: Ram's Profit and Loss Percentage
Given information:
- Ram sells two articles for Rs.21689 each.
- Ram gains 10% profit on the first article.
- Ram suffers 13% loss on the second article.
To find:
- Profit and loss percentage on the whole transaction.
Solution:
Let's calculate the cost price of each article separately:
- Cost price of the first article = Rs.21689 / 1.1 = Rs.19717.27
- Cost price of the second article = Rs.21689 / 0.87 = Rs.24964.37
Now, let's calculate the total cost price and total selling price of both the articles:
- Total cost price = Rs.19717.27 + Rs.24964.37 = Rs.44681.64
- Total selling price = Rs.21689 + Rs.21689 = Rs.43378
Profit or Loss:
- Profit or Loss = Selling price - Cost price
- Profit or Loss = Rs.43378 - Rs.44681.64 = Rs.-1303.64 (Loss)
Profit or Loss Percentage:
- Profit or Loss Percentage = (Profit or Loss / Cost price) * 100
- Profit or Loss Percentage = (-1303.64 / 44681.64) * 100 = -2.92%
Therefore, the answer is option (B) 4.1% loss.
Problem 2: Rohan's Profit on Chairs
Given information:
- Rohan buys 4 chairs and 9 stools for Rs.1235.
- Rohan sells chairs at 10% profit and stools at 20% profit.
- He earns a total profit of Rs.200.
To find:
- The amount Rohan paid for chairs.
Solution:
Let's assume the cost price of each chair is x and the cost price of each stool is y.
- Total cost price of 4 chairs and 9 stools = 4x + 9y = Rs.1235
- We can't solve for x and y separately, so let's try to eliminate one variable using profit information.
Given that Rohan sells chairs at 10% profit and stools at 20% profit, we can write the following equations:
- Selling price of 4 chairs = 4x * 1.1
- Selling price of 9 stools = 9y * 1.2
- Total profit = Selling price of 4 chairs + Selling price of 9 stools - Total cost price - Rs.200
Substituting the first two equations in the third equation, we get:
- Rs.200 = 4x * 1.1 + 9y * 1.2 - 1235
- Rs.200 = 4.4x + 10.8y - 1235
- Rs.4.4x + Rs.10.8y = Rs.1435
Now, we can use the given equation for total cost price to eliminate y:
- 4x + 9y = 1235
- y = (1235 - 4x) / 9
Substituting this value of y in the previous equation, we get:
- 4.4x + 10.8[(1235 - 4x) / 9] = 1435
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