Question
A person 'P' takes a loan of Rs. 2400 at a simple
interest rate of 15% per annum for a duration of 2 years. 'P' then lends the same amount to another person 'Q' at a compound interest rate of 50% per annum, compounded annually, for the same period. Calculate the profit made by 'P' through this transaction.Solution
ATQ,
Amount to be paid by 'P' = {(2400 × 15 × 2)/100} + 2400 = Rs. 3120 Amount received by 'P' = 2400(1 + 50/100)2 = Rs. 5400 Therefore, profit earned by 'P' = 5400 – 3120 = Rs. 2280
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 50x + 600 = 0
Equation 2: y² - 51y + 630 = 0
 If 4x = 40, 3y = 33, what is the value of 6x + 4y?
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
Equation 1: x² - 120x + 3500 = 0
Equation 2: y² - 110y + 3025 = 0
I. x² + 11x + 24 = 0
II. y² + 17y + 72 = 0
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
The equation x2 – px – 60 = 0, has two roots ‘a’ and ‘b’ such that (a – b) = 17 and p > 0. If a series starts with ‘p’ such...
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 54x + 704 = 0
Equation 2: y² - 44y + 448 = 0
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