Question : A certain sum is divided between four people A, B, C, and D in the ratio 3 : 4 : 7 : 8, respectively. If the amount received by D is Rs. 408 more than the amount received by B, what is the total amount received by C and D?
Option 1: Rs. 1,630
Option 2: Rs. 1,510
Option 3: Rs. 1,610
Option 4: Rs. 1,530
Correct Answer: Rs. 1,530
Solution :
Given,
Sum divided between four people in the ratio 3 : 4 : 7 : 8 respectively
Here, let the amount received by A, B, C, and D be $3x$, $4x$, $7x$ and $8x$ respectively.
Now, According to the given Question, we have
⇒ D received Rs. 408 more amount than B
So, $ 8x - 4x = 408$
⇒ $4x = 408$
⇒ $x = 102$
$\therefore$ Total amount received by C and D $=7x+8x=15x=15×102 =1530$
Hence, the correct answer is Rs. 1530.
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