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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


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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