Multiple choice

A certain sum is divided in the ratio of 4:7. Suppose the share of the first person is Rs. 80, then what is the total sum?

  1. Rs. 220

  2. Rs. 240

  3. Rs. 260

  4. Rs. 280
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A Correct answer
Explanation

Ratio is 4:7. First share = 4 parts = 80, so 1 part = 20. Total sum = 4+7 = 11 parts = 11 * 20 = 220.

AI explanation

Let the shares of the two parts be 4x and 7x, where the first share is 4x = 80. Solving for x gives x = 20. The total sum is the sum of the parts, 4x + 7x = 11x. Substituting the value of x gives a total sum of 11 * 20 = Rs. 220. The total sum is Rs. 220.

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