Arithmetic Aptitudes › Ratio and Proportion › Question #4736
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Q5600 is to be split into A, B, C, and D in such a way that the share of A:B is 1:2, the proportion of B:C is 3:1, and the share of C:D is 2:3. Determine the sum of (A and C) and (B and C).

ID: #4736 Ratio and Proportion 154 views
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#4736Q ID
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Ratio and ProportionTopic
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  • A Rs 2400, Rs 3000 ✔ ✖
  • B Rs 2000, Rs 3000 ✔ ✖
  • C Rs 2400, Rs 3200 ✔ ✖
  • D Rs 2000, Rs 3200 ✔ ✖
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Explanation


To find the ratio of A: B: C: D, you can follow these steps:

Find the ratio of A to B: A: B = 1: 2
Find the ratio of B to C: B: C = 3: 3
Find the ratio of C to D: C: D = 2: 3
Multiply all the ratios together: A: B: C: D = (132): (232): (212): (213) = 6: 12: 4: 6
This gives you the ratio of A to B to C to D as 6: 12: 4: 6.

If the sum of the ratios is 14 and the total amount is 5600, you can find the share of each quantity by multiplying each ratio by 400, as you did. 

This gives you the shares of A, B, C, and D as 1200, 2400, 800, and 1200, respectively.

The share of (A+C) is the sum of the shares of A and C, which is 2000. 

The share of (B+C) is the sum of the shares of B and C, which is 3200.
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