Question : A and B together have Rs. 6300. If $\frac{5}{19}$th of A's amount is equal to $\frac{2}{5}$th of B's amount, B's amount is:
Option 1: Rs. 2500
Option 2: Rs. 3800
Option 3: Rs. 2300
Option 4: Rs. 4000
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Correct Answer: Rs. 2500
Solution :
Given: $\frac{5}{19}A = \frac{2}{5}B$
⇒ $25A = 38B$
⇒ $\frac{A}{B} = \frac{38}{25}$
$\therefore A : B = 38 : 25$
The sum of the terms of the ratio $= 38 + 25 = 63$
$\therefore$ B's amount $= \frac{25}{63} × 6300 = 2500$
Hence, the correct answer is Rs. 2500.
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