Multiple choice

In the income statement of Asha and Ravenna, the ratio of their income in the year 2017 was 5 : 4. The ratio of Asha's income in the year 2018 to that in 2017 is 3 : 5 and the ratio of Ravenna's income in the year 2018 to that in 2017 is 3 : 2. If Rs. 10242 is the sum of the income of Asha and Ravenna in the year 2018, then find the income of Ravenna in the year 2017?

  1. Rs. 1024

  2. Rs. 1138

  3. Rs. 2776

  4. Rs. 4552
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A:R = 5:4 in 2017. 2018 income: A = 5x * (3/5) = 3x. R = 4y * (3/2) = 6y. Since 5x/4y = 5/4, x=y. 3x+6x = 10242 => 9x = 10242 => x = 1138. Ravenna 2017 = 4x = 4552.

AI explanation

Let the 2017 incomes of Asha and Ravenna be 5x and 4x respectively. Using the given ratios for 2018, Asha's 2018 income is (3/5) of 5x, which is 3x, and Ravenna's 2018 income is (3/2) of 4x, which is 6x. Their combined income for 2018 is 3x + 6x = 9x, which equals Rs. 10,242, so x equals Rs. 1,138. Ravenna's income in 2017 was 4x, so multiplying 4 by 1,138 gives her income as Rs. 4,552.

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