Question : Rs. 15000 is divided among E, F, and G. E's share and F's share are in the ratio of 3 : 2. F's share and G's share are in the ratio of 6 : 5. How much amount will F receive?
Option 1: Rs. 3750
Option 2: Rs. 6750
Option 3: Rs. 4500
Option 4: Rs. 6000
Correct Answer: Rs. 4500
Solution :
Let the shares of E, F, and G as $x$, $y$, and $z$ respectively.
From the problem,
E's share and F's share are in the ratio of 3 : 2.
$⇒\frac{x}{y}=\frac{3}{2}$
$⇒x=\frac{3}{2}y$
F's share and G's share are in the ratio of 6 : 5.
$⇒\frac{y}{z}=\frac{6}{5}$
$⇒{z}=\frac{5}{6}y$
The total amount is Rs. 15000.
$⇒x+ y + z = 15000$
$⇒\frac{3}{2}y + y +\frac{5}{6}y = 15000$
$⇒9y+6y+5y=90000$
$⇒20y=90000$
$⇒y=4500$
Hence, the correct answer is Rs. 4500.
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