Multiple choice

Rs. 535 is divided among A, B and C so that if Rs. 15, Rs. 10. Rs. 30 be subtracted from their respective shares, the remainders may be in the ratio 4: 5 : 7, what was their initial shares (in Rs.) ?

  1. 135, 160, 240

  2. 160, 280, 318

  3. 150.210,325

  4. None of these
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A Correct answer
Explanation

Subtracting the given amounts from the total (535 - 15 - 10 - 30 = 480) leaves 480 to be divided in ratio 4:5:7. The sum of parts is 16, so each part is 30. The remainders are 120, 150, and 210, and adding back the subtracted amounts gives 135, 160, and 240.

AI explanation

The total amount remaining after the deductions is Rs. 535 minus Rs. 15 minus Rs. 10 minus Rs. 30, which equals Rs. 480. Dividing this remainder by the total ratio parts of 16 (4 + 5 + 7) makes each ratio part worth Rs. 30. The base shares are Rs. 120, Rs. 150 and Rs. 210, and adding back the respective subtracted amounts gives initial shares of Rs. 135, Rs. 160 and Rs. 240.

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