Quantitative Apptitude - Profit & Loss Online Test 9

Explanation
The percentage of profit or loss can be calculated by finding the difference between the selling price and the cost price, dividing it by the cost price, and then multiplying by 100. In this case, the cost price of 100 oranges is Rs. 350 and the selling price is Rs. 48 per dozen, which is equivalent to Rs. 4 per orange. Therefore, the selling price of 100 oranges is Rs. 400. The profit is Rs. 400 - Rs. 350 = Rs. 50. To calculate the percentage of profit, we divide the profit by the cost price (Rs. 350) and multiply by 100: (50/350) x 100 = 14.28%. This is approximately equal to 100/7, indicating a profit.

Explanation
Sheetal earned a profit equal to 1/4th of the cost price. If the selling price is Rs.375, then the profit earned is Rs.375 - Rs.300 = Rs.75. Since the profit earned is 1/4th of the cost price, we can calculate the cost price as Rs.75 * 4 = Rs.300. Therefore, the cost price is Rs.300.

Explanation
If the man sells the pen for Rs.15 and loses one sixteenth of what it costs him, it means that he sells the pen for 15/16 of its cost. So, if 15/16 of the cost is equal to Rs.15, then the cost of the pen would be 16/15 times Rs.15, which is Rs.16.

Explanation
The cost of the article including the sales tax is Rs 616. If the rate of sales tax is 10%, it means that the sales tax is 10% of the cost price. Let's assume the cost price of the article is x. So, the sales tax would be 0.10x. Therefore, the selling price of the article would be x + 0.10x = 1.10x. It is given that the shopkeeper has made a profit of 12%, which means the selling price is 112% of the cost price. So, 1.10x = 112/100 * x. Solving this equation, we get x = Rs 500. Therefore, the cost price of the article is Rs 500.

Explanation
The price of the jewel increases by 65% after passing through three hands. The first seller makes a profit of 20% and the second seller makes a profit of 25%. To find the profit earned by the third seller, we need to calculate the remaining percentage increase in price.

Let's assume the original price of the jewel is 100 units.

After the first seller, the price becomes 100 + 20% of 100 = 120 units.
After the second seller, the price becomes 120 + 25% of 120 = 150 units.

So, the price has increased by 50 units after passing through the first two sellers.
To find the remaining percentage increase, we can calculate (50/150) * 100 = 33.33%.

Therefore, the profit earned by the third seller is 33.33% - 20% - 25% = 10%.

Explanation
A single discount equivalent to a discount series of 10% and 20% can be calculated by finding the total discount percentage. The first discount of 10% means the price is reduced to 90% of the original price. The second discount of 20% means the price is further reduced to 80% of the discounted price. Multiplying 90% and 80% gives us 72%, which means the final price is 72% of the original price. Therefore, the single discount equivalent to the series of discounts is 28%.

Explanation
Vikas bought paper sheets for Rs 7200 and spent Rs 200 on transport, totaling Rs 7400. He then had 330 boxes made, which he sold at Rs 28 each, earning a total of Rs 9240.
To find the profit percentage, we need to calculate the profit first.
Profit = Selling Price - Cost Price
Profit = Rs 9240 - Rs 7400 = Rs 1840
Profit Percentage = (Profit / Cost Price) * 100
Profit Percentage = (1840 / 7400) * 100 = 24.86%
Since the profit percentage is not given as an option, the correct answer is "none of these".

Explanation
The trader is mixing two different varieties of rice, one costing Rs. 20 per kg and the other costing Rs. 36 per kg. The total weight of the mixture is 26 kg + 30 kg = 56 kg. The cost price of the mixture is (26 kg * Rs. 20/kg) + (30 kg * Rs. 36/kg) = Rs. 520 + Rs. 1080 = Rs. 1600. The selling price of the mixture is 56 kg * Rs. 30/kg = Rs. 1680. The profit made by the trader is Rs. 1680 - Rs. 1600 = Rs. 80. The profit percentage is (80/1600) * 100 = 5%.

Explanation
The shopkeeper sells the pen for Rs.10 and loses 1/11 of its cost. This means that the selling price is 10/11 of the cost price. To find the cost price, we can set up the equation: cost price * (10/11) = Rs.10. Solving for the cost price, we get cost price = Rs.10 * (11/10) = Rs.11.