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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