A shopkeeper buys a certain product at a certain price, marks its pric...
Solution: Let CP of the product be x.
Actual profit, P - 1.2x - 250 - x = 0.2x - 250 Also, 1.35x - 300 - x = 0.35x - 300 = 2P Solving the weo equations we get, x = 4000 So, P = Rs. 550 Hence, option 2.
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A shopkeeper buys a certain product at a certain price, marks its pric...
Solution: Let CP of the product be x.
Actual profit, P - 1.2x - 250 - x = 0.2x - 250 Also, 1.35x - 300 - x = 0.35x - 300 = 2P Solving the weo equations we get, x = 4000 So, P = Rs. 550 Hence, option 2.
A shopkeeper buys a certain product at a certain price, marks its pric...
To solve this problem, let's assume the cost price of the product is 'C'.
Given information:
- The shopkeeper marks up the price by 20% and offers a discount of Rs. 250.
- If he marks up the price by 35% and offers a discount of Rs. 300, his profit/loss percentage would have doubled.
Calculating the selling price:
1. Marking up the price by 20%:
Selling price = Cost price + 20% of Cost price
= C + 0.2C
= 1.2C
2. Offering a discount of Rs. 250:
Selling price = 1.2C - Rs. 250
Calculating the profit/loss percentage:
Profit/loss percentage = [(Selling price - Cost price) / Cost price] * 100
Now, let's calculate the profit/loss percentage for the given scenario:
Profit/Loss percentage = [(1.2C - Rs. 250 - C) / C] * 100
= [(0.2C - Rs. 250) / C] * 100
= (0.2 - (250 / C)) * 100
Now, let's consider the second scenario where the shopkeeper marks up the price by 35% and offers a discount of Rs. 300. According to the given information, the profit/loss percentage would have doubled in this scenario.
Profit/Loss percentage in the second scenario = 2 * Profit/Loss percentage in the first scenario
[(0.2C - Rs. 300) / C] * 100 = 2 * [(0.2 - (250 / C)) * 100]
Now, let's solve this equation to find the value of C:
[(0.2C - Rs. 300) / C] * 100 = 2 * [(0.2 - (250 / C)) * 100]
Simplifying the equation:
0.2C - Rs. 300 = 2 * (0.2C - Rs. 250)
Expanding and simplifying the equation further:
0.2C - Rs. 300 = 0.4C - Rs. 500
Bringing like terms together:
0.4C - 0.2C = Rs. 500 - Rs. 300
0.2C = Rs. 200
C = Rs. 1000
Now that we have found the cost price (C) to be Rs. 1000, we can calculate the actual profit/loss by selling the product:
Actual Selling price = 1.2C - Rs. 250
= 1.2 * Rs. 1000 - Rs. 250
= Rs. 1200 - Rs. 250
= Rs. 950
Profit/loss = Selling price - Cost price
= Rs. 950 - Rs. 1000
= -Rs. 50
Therefore, the actual profit/loss by selling the product is a Loss of Rs. 50. Hence, option (a) is the correct answer.