Question
Quantity I: The price of rice is decreased by 30%, by
how much % the consumption is increase so that the expenditure will decreased by 10%? Quantity II: A man spends Rs. 45,600 out of his income 68,400. If his income and expenditure are increased by 19% and 13%. Find the percentage change in his savings. Each question given below contains a statement followed by quantity I and quantity II. Find both to find the relationship among them. Mark your answer accordingSolution
Quantity I: Total Expense = Price per unit
Consumption So let Price per unit & consumption both are 100 So toal expense = 100
100 = Rs. 10000 New total expense = 10000
0.90 = Rs. 9000 & New price per unit = Rs. 100
0.7 = 70 So New Total Expense = New Price per unit
New Consumption 9000 = 70
new consumption So new consumption = 9000/70 = 900/7 Hence ratio of old & new consumption = 100 : 900/7 = 700 : 900 = 7 : 9 Hence increase in comsumption = (9-7) /7
100 = 28.56% Quantity II: Expense / Income = 45600/68400 = 2/3 Hence Let orginal income = 300 & original expense = 200 So saving = 300 - 200 = 100 Now new income = 300
119% = 357 , New expense = 200
113% = 226, So new saving = 357 -226 = 131 Hence change in saving % = (131-100)/100
100 = 31% So Quantity I < Quantity II
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 27x² - 114x + 99 = 0
Equation 2: 18y² - 70y + 68 = 0
I. 56x² - 99x + 40 = 0
II. 8y² - 30y + 25 = 0
I). p2 - 26p + 165 = 0
II). q2 + 8q - 153 = 0
I. x2 + 91 = 20x
II. 10y2 - 29y + 21 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
I. 8x – 3y = 85
II. 4x – 5y = 67
I. 6x2 - 41x+13=0
II. 2y2 - 19y+42=0