Calculating Cheapest Furniture Item Price
The problem asks us to find the price of the cheapest furniture item given the average price of three items and the ratio of their prices.
Understanding Price Ratio and Average
- Average Price = Total Price / Number of Items
- The prices are in the ratio 3 : 5 : 7.
- The cheapest item corresponds to the smallest part of the ratio, which is 3.
Step-by-Step Calculation
- Calculate the Total Price:
Given the average price is ₹5,305 for 3 items, the total price is:
$ \text{Total Price} = \text{Average Price} \times \text{Number of Items} $
$ \text{Total Price} = ₹5,305 \times 3 = ₹15,915 $
- Determine the Sum of Ratio Parts:
The sum of the ratio parts (3, 5, 7) is:
$ \text{Sum of Ratio} = 3 + 5 + 7 = 15 $
- Calculate the Price of the Cheapest Item:
The cheapest item corresponds to the ratio part '3'. Its price is calculated as:
$ \text{Cheapest Item Price} = \left( \frac{\text{Cheapest Ratio Part}}{\text{Sum of Ratio}} \right) \times \text{Total Price} $
$ \text{Cheapest Item Price} = \left( \frac{3}{15} \right) \times ₹15,915 $
$ \text{Cheapest Item Price} = \left( \frac{1}{5} \right) \times ₹15,915 $
$ \text{Cheapest Item Price} = ₹3,183 $
Therefore, the price of the cheapest furniture item is ₹3,183.
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Important Questions from Average
The average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14 th number is excluded, then what is the average of remaining numbers? (correct to one decimal places)
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Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6 th number. If their average is 136, then the 6 th number is:
The average of five numbers is 30. If one number is excluded, then average becomes 31. What is the excluded number?
The average weight of 49 students in a class is 39 kg. Seven of them whose average weight is 40 kg leave the class and other seven students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?
