Question
I. 10x² - 11x + 3 = 0 II. 42y² - 23y
– 10 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 10x² - 11x + 3 = 0 10x² - 6 x - 5 x + 3 = 0 2 x (5 x - 3) – 1(5 x - 3) = 0 (2 x – 1)(5 x - 3) = 0 ∴ x = 1/2, 3/5 II. 42y² - 23y – 10 = 0 42y² - 35y + 12 y – 10 = 0 7 y(6 y – 5) + 2(6 y – 5) = 0 (7 y + 2)(6 y – 5) = 0 ∴ y = -2/7, 5/6 Hence, relationship cannot be established between x and y
Lalita and Meru started a business with investments in the ratio 5:8, respectively. After 4 months, Lalita increased her investment by 40%, while Meru d...
A launched a business by investing Rs. 1920. Later, B joined the venture, contributing Rs. 2280. At the year's end, the total profit was Rs. 8600, with ...
Two partners A and B invested Rs 70,000 and Rs 50,000 respectively in a business. Both the partners distribute 75% of the profit equally and distribute ...
X and Y initiated a partnership, with investments of Rs. 5000 and Rs. 6000 respectively. Six months into the partnership, Z joined by contributing Rs. 4...
‘P’ and ‘Q’ entered into a business with initial investments of Rs. 1000 and Rs. 700 respectively. After 3 months, ‘P’ withdrew Rs. 300 whil...
A and B entered into a business investing Rs. (x + 75) and Rs. (x – 55) respectively. After one year they invested Rs. 120 more and Rs. 200 more respe...
X and Y invested Rs. 20000 and Rs. 30000 respectively into a business. After 4 months, Z joined them with Rs. 25000. If the total profit at the end of t...
'Kevin' began a business with Rs.14,000. 'Liam' joined after 'c' months with Rs.21,000. Given their profit ratio by year-end was 14:21, find c2
Ms. Neha and Ms. Tara launched a startup with a total investment of Rs. ‘x’. Neha's share in the initial investment was 45%, and Tara invested the r...
‘X’ and ‘Y’ started a business together. The amount invested by ‘X’ is 40% more than that of ‘Y’, while ‘Y’ invested his amount for ...
Relevant for Exams:
