Question : A certain sum of money was divided between A, B, and C in the ratio of 5 : 6 : 9. If A received Rs. 450, the sum divided was:
Option 1: Rs. 2000
Option 2: Rs. 1800
Option 3: Rs. 2250
Option 4: Rs. 1000
Correct Answer: Rs. 1800
Solution :
The ratio of money divided between A, B, and C = 5 : 6 : 9
Let the money going to A, B, and C be $5x, 6x$, and $9x$ respectively.
If A received Rs. 450,
$⇒ 5x=450$
$⇒ x=90$
Amount received by $B=6x=90×6=$ Rs. $540$
Amount received by $C=9x=90×9=$ Rs. $810$
The sum of money divided = $(450+540+810) =$ Rs. $1800$
Hence, the correct answer is Rs. 1800.
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