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04 Nov 2021, 08:30
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C
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Difficulty:
35%
(medium)
Question Stats:
70% (02:15) correct
30%
(02:40)
wrong
based on 63
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$5783 is divided among A, B and C in such a way that if $28, $37, $18 be deducted from their respective shares, they have money in the ratio 4:6:9. What is A's Share?
A. $1256
B. $1259
C. $1228
D. $1456
E. $1084
A. $1256
B. $1259
C. $1228
D. $1456
E. $1084
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04 Nov 2021, 10:31
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Option (C): $1228
$5783 is divided among A, B, C.
If you deduce $28, $37, and $18 from A, B, and C respectively, the end product of their shares are in ratios 4k, 6k, and 9k.
Let us denotes actual shares of A, B, and C as a, b, and c for simplicity.
So, Share of A = a, if I deduce 28 from it, it becomes: A = a - 28. Similarly, share of B = b - 37, and share of C = c - 18.
These shares are in the ratio 4:6:9.
Thus, I can write, a - 28 = 4k, similarly, b - 37 = 6k, and c - 18 = 9k.
If deductions weren't made, the sum of shares of A, B, and C would have been equal to the total sum. But, now there are deductions of 28, 37, and 18.
Which means, their total value is decreased by (28 + 37 + 18 = 83).
This gives, 4k + 6k + 9k = 5783 - 83 = 5700.
=> k = 300.
Now, I know, Share of A = a - 28 = 4k.
Substituting the value of k above, I get,
a - 28 = 1200 => a = 1228. Answer.
$5783 is divided among A, B, C.
If you deduce $28, $37, and $18 from A, B, and C respectively, the end product of their shares are in ratios 4k, 6k, and 9k.
Let us denotes actual shares of A, B, and C as a, b, and c for simplicity.
So, Share of A = a, if I deduce 28 from it, it becomes: A = a - 28. Similarly, share of B = b - 37, and share of C = c - 18.
These shares are in the ratio 4:6:9.
Thus, I can write, a - 28 = 4k, similarly, b - 37 = 6k, and c - 18 = 9k.
If deductions weren't made, the sum of shares of A, B, and C would have been equal to the total sum. But, now there are deductions of 28, 37, and 18.
Which means, their total value is decreased by (28 + 37 + 18 = 83).
This gives, 4k + 6k + 9k = 5783 - 83 = 5700.
=> k = 300.
Now, I know, Share of A = a - 28 = 4k.
Substituting the value of k above, I get,
a - 28 = 1200 => a = 1228. Answer.
