Gift Article Price Ratio Problem
Let the prices of the three gift articles be \(2x\), \(5x\), and \(8x\), according to the given ratio 2 : 5 : 8.
Calculating the Price Multiplier
- The difference between the prices of the second and third articles is given as ₹5,055.
- In terms of the ratio multiplier \(x\), this difference is \(8x - 5x\).
- Set up the equation: \(8x - 5x = 5055\)
- Simplify the equation: \(3x = 5055\)
- Solve for \(x\): \(x = \frac{5055}{3}\) \(x = 1685\)
Finding the Sum of Prices
- The sum of the prices of the three articles is \(2x + 5x + 8x\).
- Combine the terms: \(Sum = (2 + 5 + 8)x\) \(Sum = 15x\)
- Substitute the value of \(x\) found earlier (\(x=1685\)): \(Sum = 15 \times 1685\)
- Calculate the final sum: \(Sum = 25275\)
Therefore, the sum of the prices of the three gift articles is ₹25,275.
Similar Questions
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- If \(4/9 : x = 2/3 : 16/81\), then \(x = ?\)
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Important Questions from Ratio and proportion
- An amount is divided between two friends in the ratio 4: 7. If the second part is ₹6 more than the first, then the difference in amount between two friends is:
- If x : y = 8:3, then \((x - y) : (x + y) = ?\)
- If the third proportional of 9 and 60 be x, then what is the value of x?
- If 36% of first number is equal to four-sevenths of second number, what is the ratio of first number to the second number?
- A, B and C invest a sum in the ratio of 61 : 43 : 90, respectively. If they earned a total profit of ₹2,910 at the end of the year, then what is the difference between share of B and C?
