Multiple choice

Rs. 1000 is distributed among A, B, and C.After A spends Rs. 20, B spends Rs. 30, and Cspends Rs. 50, their remaining amounts arein the ratio 2 : 3 : 4. How much did B receiveinitially?

  1. A.300

  2. B.330

  3. C.350

  4. D.400

  5. E.310
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Remaining amounts: A-20, B-30, C-50. Total remaining = 1000 - 100 = 900. Ratio 2:3:4 means 9 parts = 900, so 1 part = 100. B's remaining = 300. Initial B = 300 + 30 = 330.

AI explanation

Let the initial amounts received by A, B, and C be 2x + 20, 3x + 30, and 4x + 50 respectively, based on their remaining amounts and expenditures. The total sum distributed is the sum of these initial amounts: (2x + 20) + (3x + 30) + (4x + 50) = 9x + 100. Since the total sum is Rs. 1,000, we have 9x + 100 = 1,000, making 9x = 900 and x = 100. Substituting x into B's initial amount gives 3(100) + 30, so B received Rs. 330.

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