NumericalModerate3 marks
Using properties of proportion find x : y, given: (x² + 2x) / (2x + 4) = (y² + 3y) / (3y + 9)
Topic: Shares, dividend and return
Previous-year question practice database
Answer
Exam answer
Given:
(x² + 2x)/(2x + 4) = (y² + 3y)/(3y + 9)
Factor numerator and denominator:
x(x + 2) / [2(x + 2)] = y(y + 3) / [3(y + 3)]
Therefore:
x/2 = y/3
Cross-multiplying:
3x = 2y
Hence:
x/y = 2/3
Answer:
x : y = 2 : 3.
Explanation
Factor out the common binomial factors on both sides. After cancellation, the proportion reduces to x/2 = y/3.
More from Shares and Dividend
Asha buys ₹ 20 shares of a company which pays 9% dividend at such a price that she gets a return of 12% on her investment. At what price did she buy each share?2026the money invested by Kabir in buying these shares.2026the rate of dividend, if he received ₹ 1,080 as dividend from these shares after one year.2026his rate of return.2026A man invested in a company paying 12% dividend on its share. If the percentage return on his investment is 10%, then the shares are:2025market value2025