Question
If the price of a sugar bag is reduced by 40%, by what
percentage should a family increase its consumption of sugar bags to ensure that their total expenditure on sugar remains unchanged?Solution
ATQ;
Let initial price of sugar bag be Rs. 100 per kg and initial consumption be 1 kg
So, initial total expenditure = Rs. 100
Reduced price of sugar bag = {100 – (40% of 100)} = Rs. 60
So, new consumption = {100/60} = (5/3) kg
Therefore, percentage increased = [{(5/3) – 1}/1] × 100 = 66.67%
I. 15y2 + 26y + 8 = 0
II. 20x2 + 7x – 6 = 0
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 4x2 + 3√7 x-7 =0
II. 7y2 + 4√7 y-5=0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 11x² - 93x + 88 = 0
Equation 2: 13y² + 118y + 93 = 0
I. 5x² - 28x + 39 = 0
II. 2y² - 13y + 20 = 0
I. 4x2 + 9x - 9 = 0
II. 4y2 - 19y + 12 = 0
