Multiple choice

Two statements numbered I and II given below. Decide whether the data provided in the statements is sufficient to answer the question. Total money with Naresh and Ajay is $28$ % of that with Usman. How much money is Ajay having? I. Usman has got Rs $75000$ II. The ratio of money of Naresh to money held by Ajay is $1 : 3$

  1. The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question

  2. The data in statement II alone are sufficient to answer the question, while the data in statement i alone are not sufficient to answer the question

  3. The data either in statement I alone or in statement II alone are sufficient of answer the question

  4. The data given in both statements I and II together are necessary to answer the question

  5. The data given in both statements I and II together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let N, A, U be the money of Naresh, Ajay, and Usman. We know N+A = 0.28U. We want to find A. Statement I gives U=75000, so N+A = 21000. Statement II gives N/A = 1/3, so N = A/3. Substituting gives A/3 + A = 21000, which allows solving for A. Both statements are required.

AI explanation

Statement I gives the total money with Usman as Rs 75000, which allows us to find the combined money of Naresh and Ajay as 28 percent of 75000, equalling Rs 21000, but it does not give the individual amounts. Statement II provides the ratio of money between Naresh and Ajay as 1:3, but without the total amount, their individual shares cannot be found. Using both statements together, the total of Rs 21000 can be divided in the ratio of 1:3 to find the exact amount Ajay has. The data given in both statements I and II together are necessary to answer the question.

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