Weight of diamond (in carats) Price of diamond (in rupees/carat) 0.25 1 lakh 0.5 2 lakh 1 4 lakh 2 8 lakh
How many 0.25 carat diamonds can be purchased for the price of a 2 carat diamond?
Diamond Price Calculation: 0.25 Carat vs 2 Carat
This problem requires calculating how many smaller diamonds (0.25 carat) can be bought for the price of a larger diamond (2 carat), using the provided price list.
Price Data Analysis
The prices are given per carat based on the diamond's weight:
| Weight of diamond (in carats) | Price of diamond (in rupees/carat) |
| 0.25 | 1 lakh |
| 0.5 | 2 lakh |
| 1 | 4 lakh |
| 2 | 8 lakh |
Calculating Total Prices
First, determine the total price for the diamonds mentioned in the question.
- Price of a 2 carat diamond: From the table, the rate for a 2-carat diamond is 8 lakh rupees/carat. $ \text{Total Price (2 carat)} = \text{Weight} \times \text{Rate} = 2 \text{ carats} \times 8 \text{ lakh/carat} = 16 \text{ lakh rupees} $
- Price of a 0.25 carat diamond: The rate for a 0.25-carat diamond is 1 lakh rupees/carat. $ \text{Total Price (0.25 carat)} = \text{Weight} \times \text{Rate} = 0.25 \text{ carats} \times 1 \text{ lakh/carat} = 0.25 \text{ lakh rupees} $
Determining the Number of Diamonds
To find out how many 0.25 carat diamonds can be purchased for the price of a 2 carat diamond, divide the total price of the 2 carat diamond by the total price of one 0.25 carat diamond.
$ \text{Number of 0.25 carat diamonds} = \frac{\text{Price of 2 carat diamond}}{\text{Price of 0.25 carat diamond}} $ $ \text{Number} = \frac{16 \text{ lakh rupees}}{0.25 \text{ lakh rupees}} $ $ \text{Number} = \frac{16}{0.25} $ $ \text{Number} = \frac{16}{1/4} $ $ \text{Number} = 16 \times 4 $ $ \text{Number} = 64 $Therefore, 64 diamonds of 0.25 carat can be purchased for the price of one 2 carat diamond.
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