Rina and Meena earn in the ratio 4:3, and their monthly spending follows the ratio 3:2. Both save ₹6000 every month.

Consider the following statements:
Statement I: The monthly earning of Rina is ₹24,000.
Statement II: The monthly earning of Meena is ₹18,000.

Select the correct answer from below:
)a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

Rina and Meena earn in the ratio 4:3, and their monthly spending follows the ratio 3:2. Both save ₹6000 every month.

Consider the following statements:
Statement I: The monthly earning of Rina is ₹24,000.
Statement II: The monthly earning of Meena is ₹18,000.

Select the correct answer from below:
)a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Let their earnings be:
Rina = 4x, Meena = 3x
Let their expenditures be:
Rina = 3y, Meena = 2y
Given savings = earnings &minus; expenditure = ₹6000 for both

So,
4x &minus; 3y = 6000 &rarr; (1)
3x &minus; 2y = 6000 &rarr; (2)

Multiply (1) by 2:
8x &minus; 6y = 12000
Multiply (2) by 3:
9x &minus; 6y = 18000

Subtract:
(9x &minus; 6y) &minus; (8x &minus; 6y) = 18000 &minus; 12000
x = 6000

Now,
Rina&rsquo;s earning = 4x = 24000
Meena&rsquo;s earning = 3x = 18000

Statement I: Rina earns ₹24,000, which is correct

Statement II: Meena earns ₹18,000, which is correct

Hence correct option is c.

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