Discussion of Question with ID = 053 under Ratio-and-Proportion

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If $26/57$ of A's amount is $13/19$ of B's amount, and the total amount they have is Rs. 3000, what is the amount with A?


Rs. 1800.


Rs. 1802.


Rs. 1798.


Rs. 1804.

Ans: a

Let the amounts with them be A and B. So $26/57$A = $13/19$B, which can be re-arranged to get A : B = 3 : 2. So A = $3/5 × 3000$ = Rs. 1800.

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