St 1
Rita = 2/3 J
4000 = 2/3 J
12000/ 2 = J
J = 6000
Combined Salary = 10,000 Sufficient

St 2. If Ritas Salary is 6000
6000 = 2/3J
J = 9000
Total = 15000
If Juanitas Salary = 6000.
Rita = 6000×2/3 = 4000
Total = 10000
NS

Ans A


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Rita is 2x and J is 3x
(1) gives us 2x=4000..hence 5x= 10000
Sufficient

(2) if 2x = 6000 then 5x is 15000
If 3x = 6000 then 5x is 10000

Not sufficient

Hence A


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(1) \(4000=\frac{2}{3}\)J Sufficient.

(2) The salary can be either one's Insufficient.

The answer is \(A\)
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Solution:

We need to determine the combined monthly salary of Rita and Juanita, given that Rita earns 2/3 of what Juanita earns in a month.

Statement One Alone:

Since Rita earns $4,000 a month and if we let J = Juanita's monthly salary, we can create the equation:

4000 = 2/3 * J

J = 4000 * 3/2 = 6000

Therefore, together they earn 4000 + 6000 = $10,000 a month. Statement one alone is sufficient.

Statement Two Alone:

If Rita earns $6,000, then Juanita will earn more than $6,000, their combined monthly salary would be more than $12,000. However, if Juanita earns $6,000, then Rita will earn less than $6,000, their combined monthly salary would be less than $12,000. Since their combined monthly salary could either be more than $12,000 or less than $12,000 (depending on who earns $6,000), statement two alone is not sufficient.

Answer: A
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