Single Choice Not Set

QRs 7800 is divided among A, B, and C. The share of "A" equals one-fourth of the share of B, and the share of B equals two-thirds of the share of C. Determine the difference in the shares of B and C.

ID: #4748 Ratio and Proportion 329 views
Question Info
#4748Q ID
Not SetDifficulty
Ratio and ProportionTopic

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  • A 1200
  • B 1300
  • C 1500
  • D 800
Correct Answer

Explanation


The share of A: B is 3: 4
The share of B: C is 2: 3

Note: Whenever such form is given, multiply a to b, then b to b, and then b to c.

i.e., A: B: C = 3*2: 4*2: 4*3
Or, A: B: C = 6: 8: 12
Or, A: B: C = 3: 4: 6
Sun of ratios = 13
Now, the share of B = [4/13] * 7800 = 2400
Share of C = [6/13]* 7800 = 3600

The difference between the share of B and C = 3600- 2400 = 1200

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