Question : Sandy and Mandy do $\frac{8}{13}$th part of a work and the rest of the work was completed by Andy. If Sandy, Mandy and Andy take the same work for Rs. 2600, then what is the share (in Rs.) of Andy?
Option 1: 1600
Option 2: 1400
Option 3: 800
Option 4: 1000
Correct Answer: 1000
Solution :
Let the amount of total work be $a$.
⇒ Work done by Sandy and Mandy =$\frac{8}{13}a$
⇒ Work done by Andy = $a- \frac{8}{13}a=\frac{5}{13}a$
The total amount of money taken by the 3 people = Rs. 2600
$\therefore$ Andy’s share = $2600 ×\frac{\frac{5}{13}a}{a}$ = Rs. 1000
Hence, the correct answer is 1000.
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