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
A father distributed two different amounts among his sons P, Q, R and S. First amount was distributed in the ratio 5 : 4 : 3 : 2 and the second amount was distributed in the ratio 6 : 7 : 8 : 9. If the second amount is thrice the first amount, then which son will get the maximum amount?
A sum of ₹420 is divided among A, B, C, and D such that: A : B = 4 : x, B : C = x : 7, C : D = 6 : (x − 3). If B and C together get ₹210, find the value of x.
Given the ratio 3:4::6:8, which operation verifies the proportion?
A workshop mixes coolant concentrate and water in a 3:2 ratio for a machine cooling system. If the total mixture required is 25 liters, how many liters of coolant concentrate are required?
P, Q and R are three batsmen. The ratios of runs scored by them in a certain match were as follows:
P : Q = 5 : 7 and Q : R = 2 : 3.
If they scored a total of 765 runs, then find the number of runs scored by R.- If ₹ 87 was divided between James and Radha in the ratio 1 : 2, how much money did Radha get?
- If 3 dozen guavas cost ₹ 90, how many guavas can be bought for ₹ 240?
Important Questions from Ratio and proportion
A’s marks in Mathematics are directly proportional to practice time. In 6 hours of practice, A gets 70 marks. What should be the practice time (approximately) to get 90 marks?
The average of the areas of 2 similar triangles is 706.5 m2 whose perimeters are in the ratio of 6 : 11. What is 20% of the difference (in m2) in areas of both triangles?
In a triangle ABC, D and E are two points on sides AB and AC, respectively, such that DE is parallel to BC and AD : DB = 3 : 5. If AC = 5.6 cm, then find the value (in cm) of AE.
In a triangle ABC, P and Q are two points on AB and AC, respectively, such that PQ is parallel to BC. If AC = 5QC, then the ratio PQ : BC is equal to:
Find the mean proportional between 25 and 81.
