Question

What is the population of state A?
Statements:
I. Population of state A is 60% of the population of state B.
II. Population of States A and B together is 10 crores.

• A. Statement I alone is sufficient to determine the answer
• B. Statement II alone is sufficient, but statement I alone is not sufficient
• C. Data in both the statements together are not sufficient
• D. Both statements I and II are needed

Answer 1

The Correct Option is D

Let the population of state A be \( x \) and state B be \( y \). From Statement II, we know that \( x + y = 10 \) crores.
From Statement I, \( x = 0.6y \).
Solving the two equations \( x + y = 10 \) and \( x = 0.6y \), we get the population of state A.
Thus, both statements are required to calculate the population of state A.
In problems involving percentages and totals, use algebra to set up equations and solve for the unknown variable.