All questions of Discount for SSC CGL Exam

Understanding the Problem
The camera costs Rs. 7200 and is sold at a loss of 25%. We need to find the cost price as a percentage of the selling price.
Calculating Selling Price
- The loss percentage is 25%.
- Selling price (SP) can be calculated using the formula:
SP = Cost Price (CP) - Loss
- Loss is calculated as:
Loss = (Loss Percentage / 100) * CP
- For our case:
Loss = (25/100) * 7200 = Rs. 1800
- Now, we can find the selling price:
SP = CP - Loss
SP = 7200 - 1800 = Rs. 5400
Calculating Cost Price as a Percentage of Selling Price
- Now, we need to find the cost price as a percentage of the selling price:
(Cost Price / Selling Price) * 100
- Substituting the values:
(7200 / 5400) * 100
- This simplifies to:
(7200 / 5400) * 100 = 1.3333 * 100 = 133.33%
Conclusion
Thus, the cost price of the camera is 133.33% of its selling price, confirming that the correct answer is option 'D'.

Understanding the Initial Sale
The shopkeeper sold an article for Rs. 2,250 with a profit of 25%. To find the cost price (CP), we can use the formula:
- Selling Price (SP) = Cost Price (CP) + Profit
- Profit = (Profit Percentage/100) * CP
Since the profit is 25%, we can express it as:
- SP = CP + (25/100) * CP = (125/100) * CP
Now, substituting the known SP:
- 2,250 = (125/100) * CP
To find CP:
- CP = 2,250 * (100/125)
- CP = 2,250 * 0.8 = Rs. 1,800
Calculating New Selling Price
Now, let's determine the scenario where the article is sold for Rs. 1,000. We need to find the profit or loss percentage in this case.
Finding Profit/Loss
- Selling Price (SP) = Rs. 1,000
- Cost Price (CP) = Rs. 1,800
To find the loss:
- Loss = CP - SP = 1,800 - 1,000 = Rs. 800
Calculating Loss Percentage
Now we calculate the loss percentage using the formula:
- Loss Percentage = (Loss/CP) * 100
Substituting the values:
- Loss Percentage = (800/1,800) * 100
- Loss Percentage = 44.44%
Conclusion
If the shopkeeper sold the article for Rs. 1,000, he would incur a loss of 44.44%. Thus, the correct answer is option 'D'.

Understanding the Problem
To determine the cost price of the shirt, we first need to clarify the relationship between the costs of the shirt and the trousers.
Total Cost
- The total cost of the shirt and trousers is Rs. 10,750.
Cost Relationship
- Let the cost price of the trousers be represented as 'T'.
- According to the problem, the shirt costs 15% more than the trousers. This can be expressed as:
Shirt Cost = T + 0.15T = 1.15T
Setting Up the Equation
- Now, we can set up the equation based on the total cost:
T + 1.15T = 10,750
- This simplifies to:
2.15T = 10,750
Calculating the Cost of Trousers
- To find the value of 'T', divide both sides by 2.15:
T = 10,750 / 2.15
- Calculating this gives:
T = Rs. 5,000
Finding the Cost of the Shirt
- Now that we have the cost of trousers, we can find the cost of the shirt:
Shirt Cost = 1.15 * T = 1.15 * 5,000
- This calculates to:
Shirt Cost = Rs. 5,750
Conclusion
- Therefore, the cost price of the shirt is Rs. 5,750, which corresponds to option 'C'.

Given Information:
- Cost price of the article = Rs. 4000
- Selling price of the article = Rs. 6000
- New profit after selling at Rs. 6000 = 400% of original profit

Calculating Original Profit:
Let the original profit be Rs. x.
Therefore, selling price = cost price + profit
Rs. 6000 = Rs. 4000 + x
x = Rs. 2000

Calculating New Profit:
New profit = 400% of original profit
New profit = 400/100 * Rs. 2000
New profit = Rs. 8000

Finding Selling Price to Get New Profit:
Let the selling price to get new profit be Rs. y.
Therefore, selling price = cost price + new profit
Rs. y = Rs. 4000 + Rs. 8000
y = Rs. 12000
Therefore, Sheetal sold the article for Rs. 12000 to get a new profit of Rs. 8000.

Conclusion:
The correct answer is none of these (option D).

Understanding the Selling Price and Profit
The shopkeeper sells an item for Rs. 870 and makes a profit of 20%. To determine the cost price (CP) of the item, we can use the formula for profit:
- Profit = Selling Price - Cost Price
- Profit Percentage = (Profit / Cost Price) * 100
Given that the profit percentage is 20%, we can rearrange the formula to find the Cost Price.
Calculating the Cost Price
- Selling Price (SP) = Rs. 870
- Profit Percentage = 20%
Using the relationship:
CP = SP / (1 + Profit Percentage/100)
Substituting the values:
CP = 870 / (1 + 20/100) = 870 / 1.2 = Rs. 725
Calculating the Selling Price for 50% Profit
Next, to find the new selling price for a 50% profit, we again apply the profit formula:
- Desired Profit Percentage = 50%
Using the formula:
New SP = CP * (1 + Desired Profit Percentage/100)
So:
New SP = 725 * (1 + 50/100) = 725 * 1.5 = Rs. 1087.50
Conclusion
To achieve a profit of 50%, the shopkeeper should sell the item for Rs. 1087.50. Thus, the correct answer is option 'D'.

Understanding the Problem
To determine the percentage discount allowed by the seller, we need to analyze the relationships between cost price (CP), marked price (MP), selling price (SP), and profit.
Step 1: Marked Price Calculation
- Let the cost price (CP) be 100.
- The seller marks the article 60% above the cost price:
MP = CP + (60% of CP)
MP = 100 + 60 = 160
Step 2: Selling Price Calculation
- The seller earns a profit of 25% on the cost price:
SP = CP + (25% of CP)
SP = 100 + 25 = 125
Step 3: Finding the Discount
- The discount (D) given on the marked price can be calculated as:
D = MP - SP
D = 160 - 125 = 35
Step 4: Calculating the Percentage Discount
- Now, we find the percentage discount on the marked price:
Discount Percentage = (D / MP) * 100
Discount Percentage = (35 / 160) * 100 = 21.875
- Rounding off, this is approximately 21.88%, which does not match any of the given options precisely.
Conclusion
Thus, the correct answer, based on the calculations, is that the seller allows a discount of approximately 21.88%, which can be categorized as "None of these" based on the provided options.