Aman and Bhavya earn monthly incomes in the ratio 5:4. Aman spends 80% of his income, and Bhavya spends 75% of hers. Both save ₹8,000 per month.
Consider the following statements:
Statement I: Aman's monthly income is ₹32,000.
Statement II: Aman’s and Bhavya's, total monthly income is ₹ 70000.

Select the correct answer from the options 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

Aman and Bhavya earn monthly incomes in the ratio 5:4. Aman spends 80% of his income, and Bhavya spends 75% of hers. Both save ₹8,000 per month.
Consider the following statements:
Statement I: Aman's monthly income is ₹32,000.
Statement II: Aman&rsquo;s and Bhavya's, total monthly income is ₹ 70000.

Select the correct answer from the options 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.

TutorArc · Accepted Answer

Given: Aman and Bhavya's monthly incomes are in the ratio 5:4.
Let Aman's income = 5x and Bhavya's income = 4x.
Aman spends 80% of his income, so his savings = 20% of 5x, i.e., 0.2 &times; 5x = x
Bhavya spends 75% of her income, so her savings = 25% of 4x, i.e., 0.25 &times; 4x =
Both save ₹8,000 per month:
x = 8,000
So, Aman's income = 5 &times; 8,000 = ₹40,0005 and Bhavya's income = 4 &times; 8,000 = ₹32,000
Total monthly income = ₹40,000 + ₹32,000 = ₹72,000.
Statement I: Aman's monthly income is ₹32,000. This is incorrect. Aman's income is ₹40,000.
Statement II: Aman&rsquo;s and Bhavya's total monthly income is ₹70,000. This is incorrect. The total income is ₹72,000.

Hence, option d is correct.

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M Question 1	⏱ 0
Aman and Bhavya earn monthly incomes in the ratio 5:4. Aman spends 80% of his income, and Bhavya spends 75% of hers. Both save ₹8,000 per month. Consider the following statements: Statement I: Aman's monthly income is ₹32,000. Statement II: Aman’s and Bhavya's, total monthly income is ₹ 70000. Select the correct answer from the options 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.

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