profit loss
Directions : Study the following bar graph carefully and answer the following questions.
A shopkeeper sells four articles A, B, C and D. The Bar graph shows the Cost price (In Rs.) of the articles and Profit/loss percentage realized by the shopkeeper while selling these articles.
If Article C is sold at loss and its marked price is Rs. 264, then find the difference between percentage discount and percentage markup of the article.
- 28.4%
- 36.5%
- 25%
- 40.9%
- 30.9%
Explanation
Since Article C is sold at loss of 35% and Cost price is Rs. 240;
∴ Selling price of article C = 240 × 0.65 = Rs. 156
Given the marked price of article C = Rs. 264
∴ Percentage discount = (264 – 156)/264 = 40.9%
From the bar graph: Cost price of article C = Rs. 240 and marked price is Rs. 264;
∴ Percentage markup = (264 – 240)/240 = 10%
∴ Difference between percentage discount and percentage markup of the article = 40.9 – 10 = 30.9%
Question: 2If the article B is first sold at loss to one customer at Rs. X and then at profit to another customer at Rs. Y, then find by how much percent Y is greater than X.
- 233.33%
- 57.14%
- 133.33%
- 33.33%
- None of these
Explanation
Cost Price of article B = Rs 320 and Profit/loss
percentage = 40%
When sold at loss;
∴ X = 320 × 0.6 = Rs. 192
When sold at profit;
∴ Y = 320 × 1.4 = Rs. 448
∴ Required percentage = (448 – 192)/192 = 133.33%
∴ Y is 133.33% more than X
Question: 3If the selling price of article A is 72% of the selling price of article D then which of the following is correct?
- A is sold at profit and D is sold at loss.
- Both A and D are sold at loss.
- A is sold at loss and D is sold at profit.
- Both A and D are sold at profit.
- None of these.
Explanation
We have to solve this question with hit and trial method;
Checking with option 4;
If both A and D are sold at profit;
Selling price of A = 150 × 1.2 = Rs. 180
And selling price of D = 200 × 1.25 = Rs. 250
Required percentage = (180/250) × 100 = 72%
∴ Option 4 satisfies the given statement
Question: 4If 35 units of the article A are sold at loss and 48 units of article C are sold at profit then find the overall profit/loss percentage.
- 15.09%
- 18.47%
- 19.84%
- 17.78%
- None of these
Explanation
Total cost price of 35 units of article A and 48 units of
article C = 150 × 35 + 240 × 48 = Rs. 16770
Since article A is sold at loss;
∴ Selling price of A = 150 × 0.8 = Rs. 120
Since article C is sold at profit;
∴ Selling price of C = 240 × 1.35 = Rs. 324
Total selling price of 35 number of article A and 48
number of article C = 120 × 35 + 324 × 48 = Rs. 19752
∴ Overall profit percentage = (19752 – 16770)/16770 =17.78%
Question: 5Find the total amount received and the gross profit/loss to the shopkeeper if he has sold article C and D at loss and article A and B at profit.
- Rs. 886 and 2.56% loss
- Rs. 934 and 2.63% profit
- Rs. 846 and 7.03% loss
- Rs. 974 and 7.03% profit
- None of these
Explanation
Since articles A and B are sold at profit;
Amount received while selling article A = 150 × 1.2 = Rs. 180
Amount received while selling article B = 320 × 1.4 = Rs. 448
Since articles C and D are sold at loss;
Amount received while selling article D = 200 × 0.75 = Rs. 150
∴ Total amount received = 180 + 448 + 156 + 150 = Rs. 934
Since Total cost price of all the articles = 150 + 320 +240 + 200 = Rs. 910
∴ Gross profit percentage = (934 – 910)/910 = 2.63%
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By: Munesh Kumari