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A can do a piece of work in 8 days. A undertook to it for $320. With the help of B, he finishes the work in 6 days. B’s share is:
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- $80
- $240
- $100
- $120
Correct Option: A
As we know that ,
Here, Total amount = $320
(A + B)’s 1 day’s work = | 1 |
6 |
A’s 1 days’ work = | 1 |
8 |
∴ B’s 1 days’ work = (A + B)’s 1 day’s work - A’s 1 days’ work
B’s 1 days’ work = | - | = | |||
6 | 8 | 24 |
∴ Money should be divided in the ratio = | : | = | 3 : 1 | ||
8 | 24 |
∴ B gets = $ | x | Total amount | Sum of both ratios |
∴ B gets = $ | x | 320 | = $ 80 | 4 |