Ques 1 Profit and Loss
The owner of a television shop charges his customer 16% more than the cost price. If a customer paid Rs. 16588 for a television set, then what was the cost price of the television set?
The cost price of the television set can be found by using the following formula:
Cost Price = Selling Price / (1 + (Profit Percentage / 100))
So,
Cost Price = 16588 / (1 + (16 / 100))
Cost Price = 14300
So, the cost price of the television set is Rs. 14300. Therefore the correct option is (a) Rs. 14300.
Ques 2 Profit and Loss
By selling 32 oranges for Rs. 30 a man losses 25%. How many oranges should be sold for Rs. 24 so as to gain 20% in the transaction?
If a man sells 32 oranges for Rs. 30, he loses 25%.
This means that the cost price of 32 oranges is Rs. 30/0.75 = Rs. 40.
If he wants to gain 20%, he needs to sell the oranges for Rs. 40 * 1.2 = Rs. 48.
Since he wants to sell the oranges for Rs. 24, he needs to sell 24/48 = 1/2 = 16 oranges.
Ques 3 Profit and Loss
A vender sells lemons at the rate of 5 for Rs. 14, gaining thereby 40%. For how much did he buy a dozen lemon?
Let's assume the price for a lemon is x. Then, the vendor paid x * 5 = 5x for 5 lemons.
Since the vendor gained 40% on the sale of 5 lemons, 5x + 0.4 * 5x = 7x = 14.
Solving for x, we get x = 2.
Hence, the vendor bought each lemon for Rs. 2, and a dozen lemons for Rs. 2 * 12 = Rs. 24.
Ques 4 Profit and Loss
A dealer buys an article marked at Rs. 25000 with 20% and 5% off. He spends Rs. 2000 on its repair and sells it for Rs. 25,000. What is his gain or loss percent?
The dealer gets 20% off, so the price he pays is 25000 - 0.2 * 25000 = 20000.
He then gets an additional 5% off, so the price he pays is 20000 - 0.05 * 20000 = 19000.
After spending Rs. 2000 on repairs, the cost price (C.P) becomes 19000 + 2000 = 21000.
The selling price (S.P) is 25000.
The profit is S.P - C.P = 25000 - 21000 = 4000.
The gain percentage is (Profit / C.P) * 100 = (4000 / 21000) * 100 = 19.04%.
Ques 5 Profit and Loss
A sold a watch to B at a gain of 20% and B sold it to C at a loss if 10%. If C bought the watch for Rs. 216, at what price did A purchase it?
Let's assume the original price of the watch paid by A be x.
A sold the watch to B at x + 0.2x = 1.2x, i.e, at 120% of x.
B then sold the watch to C at 1.2x - 0.1 * 1.2x = 1.08x, i.e, at 108% of x.
Since C paid Rs. 216 for the watch, 1.08x = 216.
Solving for x, we get x = 200.
Hence, A purchased the watch for Rs. 200.