Question
A total amount of Rs.39,800 is split among three
siblings named 'Ajay', 'Bijay', and 'Chetna'. 'Ajay' receives an amount that is in the ratio of 7:8 compared to what 'Bijay' gets. Furthermore, the ratio of 'Bijay's share to 'Chetna's share is 9:8. Calculate the sum of money 'Bijay' receives.Solution
ATQ Let, the amount received by 'Bijay' be Rs. '72b' So, the amount received by 'Ajay' = (7/8) × 72b = Rs.'63b' Amount received by 'Chetna' = (8/9) × 72b = Rs. '64b' ATQ, 63b + 72b + 64b = 39800 Or, 199b = 39800 So, b = (39800/199) = 200 So, the amount received by 'Bijay' = '72b' = 72 × 200 = Rs.14,400
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