Question
Download Solution PDFCertain amount 'x' is distributed to three persons A, B, C. A gets 25% share of x. Twice the difference of B and C is equal to the share of A. Then the ratio in which A, B, C get the amounts is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Amount distributed = x
A gets 25% of x = (25/100) × x = x/4
Twice the difference of B and C = Share of A
2(B - C) = A
Calculations:
A = x/4
2(B - C) = A
⇒ 2(B - C) = x/4
⇒ B = C + x/8
Total amount distributed:
⇒ A + B + C = x
⇒ x/4 + (C + x/8) + C = x
⇒ x/4 + x/8 + 2C = x
⇒ 3x/8 + 2C = x
⇒ 2C = x - 3x/8
⇒ C = (5x/16)
Now, B = C + x/8
⇒ B = (5x/16) + (2x/16) = 7x/16
A = x/4 = 4x/16
Now, ratio A : B : C = (4x/16) : (7x/16) : (5x/16)
⇒ 4 : 7 : 5
∴ The correct answer is option (2).
Last updated on Sep 27, 2023
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