Ratio Division: Calculating Shares
This problem involves dividing a total amount based on a given ratio between two individuals, James and Radha.
Understanding the Ratio
- The total amount to be divided is ₹ 87.
- The money is divided between James and Radha in the ratio 1 : 2.
- This means for every ₹ 1 James gets, Radha gets ₹ 2.
Calculating the Shares
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Find the total number of parts in the ratio.
Total parts = James's ratio part + Radha's ratio part = $1 + 2 = 3$ parts.
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Calculate the value of one ratio part.
Value of 1 part = $\frac{\text{Total Amount}}{\text{Total Parts}} = \frac{₹ 87}{3} = ₹ 29$.
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Determine the share for each person.
- James's share = (James's ratio part) $\times$ (Value of 1 part) = $1 \times ₹ 29 = ₹ 29$.
- Radha's share = (Radha's ratio part) $\times$ (Value of 1 part) = $2 \times ₹ 29 = ₹ 58$.
The calculation shows that one part of the ratio is equivalent to ₹ 29. James receives 1 part (₹ 29) and Radha receives 2 parts (₹ 58).
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 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.
