A man had two sons- To the elder he gave 511 of his property- to the younger 511 of remainder- the rest to the widow-Find the share of the sons if the widow gets RS- 3600-

Younger son gets 3600×(11 511)×511 = Rs. 3000 Elder son gets 3000×(11 511)= Rs. 5500 ...

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A man had two...

Question

$A m a n h a d t w o s o n s . T o t h e e l d e r h e g a v e \frac{5}{11}$ $o f h i s p r o p e r t y, t o t h e y o u n g e r \frac{5}{11} o f r e m a i n d e r,$ $t h e r e s t t o t h e w i d o w .$
$F i n d t h e s h a r e o f t h e s o n s i f t h e w i d o w g e t s R S . 3600.$

Rs. 1200, 1000

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Rs. 6000, 2000

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7500, 1000

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None of these

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Solution

The correct option is D None of these
Younger son gets
$3600 \times ⎛ ⎜ ⎜ ⎜ ⎝ \frac{1}{1 - \frac{5}{11}} ⎞ ⎟ ⎟ ⎟ ⎠ \times \frac{5}{11} = R s . 3000$
Elder son gets
$3000 \times ⎛ ⎜ ⎜ ⎜ ⎝ \frac{1}{1 - \frac{5}{11}} ⎞ ⎟ ⎟ ⎟ ⎠ = R s . 5500$

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