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The pie chart given below shows the break - up of production cost of air products - A through F - of Zen Private Ltd, In year 2011 . The total production cost was Rs. 250 Cr Each of the six products is produced in two varieties - Type P and Type Q. The ratio of the units produced for each product and the profit percentage on selling them is given in the table below. Also for each product, the cost of production per item of Type P and Type Q varieties are in the ratio 4 : 5 4. For how many of the six products, is the profit made on items of type Q not more than the profit made on items of type P 5. For which product is the ratio of total profit to total production cost, the lowest?
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The pie chart given below shows the break - up of production cost of a...
Analysis of Profit on Type P and Type Q Products
To determine how many products have a profit on Type Q not exceeding that of Type P, we analyze the given data on production units and profit percentages.
Profit Calculation for Each Product:
- Type P Profit Calculation:
- Profit = Selling Price - Cost Price
- Given the cost ratio of Type P to Type Q is 4:5, the cost of Type P can be denoted as 4x and Type Q as 5x.
- Profit Percentage:
- If the profit percentage for Type P is P% and for Type Q is Q%, the profit for each type can be calculated as:
- Profit from Type P = (P/100) * (Selling Price of Type P)
- Profit from Type Q = (Q/100) * (Selling Price of Type Q)
- For each product, compare profits:
- Count the products where Profit from Type Q ≤ Profit from Type P.
Number of Products with Lower Profit on Type Q:
- By analyzing the profits from the calculations for each product, identify how many meet the condition of Type Q profit not exceeding Type P profit.
Identifying Lowest Ratio of Total Profit to Production Cost:
To find the product with the lowest ratio of total profit to total production cost:
- Total Profit Calculation:
- Total Profit = (Profit from Type P + Profit from Type Q)
- Total Production Cost:
- Given as Rs. 250 Cr distributed among products A to F per the pie chart.
- Ratio Calculation:
- Ratio = Total Profit / Total Production Cost for each product.
- Lowest Ratio Identification:
- Compare the ratios for all products and find the one with the lowest value.
In conclusion, by calculating profits and ratios, we can determine both the number of products favoring Type P over Type Q and identify the product with the least profitability relative to its production cost.
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The pie chart given below shows the break - up of production cost of air products - A through F - of Zen Private Ltd, In year 2011 . The total production cost was Rs. 250 Cr Each of the six products is produced in two varieties - Type P and Type Q. The ratio of the units produced for each product and the profit percentage on selling them is given in the table below. Also for each product, the cost of production per item of Type P and Type Q varieties are in the ratio 4 : 5 4. For how many of the six products, is the profit made on items of type Q not more than the profit made on items of type P 5. For which product is the ratio of total profit to total production cost, the lowest?
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The pie chart given below shows the break - up of production cost of air products - A through F - of Zen Private Ltd, In year 2011 . The total production cost was Rs. 250 Cr Each of the six products is produced in two varieties - Type P and Type Q. The ratio of the units produced for each product and the profit percentage on selling them is given in the table below. Also for each product, the cost of production per item of Type P and Type Q varieties are in the ratio 4 : 5 4. For how many of the six products, is the profit made on items of type Q not more than the profit made on items of type P 5. For which product is the ratio of total profit to total production cost, the lowest? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The pie chart given below shows the break - up of production cost of air products - A through F - of Zen Private Ltd, In year 2011 . The total production cost was Rs. 250 Cr Each of the six products is produced in two varieties - Type P and Type Q. The ratio of the units produced for each product and the profit percentage on selling them is given in the table below. Also for each product, the cost of production per item of Type P and Type Q varieties are in the ratio 4 : 5 4. For how many of the six products, is the profit made on items of type Q not more than the profit made on items of type P 5. For which product is the ratio of total profit to total production cost, the lowest? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pie chart given below shows the break - up of production cost of air products - A through F - of Zen Private Ltd, In year 2011 . The total production cost was Rs. 250 Cr Each of the six products is produced in two varieties - Type P and Type Q. The ratio of the units produced for each product and the profit percentage on selling them is given in the table below. Also for each product, the cost of production per item of Type P and Type Q varieties are in the ratio 4 : 5 4. For how many of the six products, is the profit made on items of type Q not more than the profit made on items of type P 5. For which product is the ratio of total profit to total production cost, the lowest?.
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