Question
x and y are two numbers having opposite signs such that.
x2 : y2 = 49 : 64. What is the value of (5x - 6y): (6x - 7y)?Solution
x2 ∶ y2 = 49 ∶ 64 x and y are opposite signs Calculation: x2 ∶ y2 = 49 ∶ 64 ⇒ x ∶ y = 7 ∶ - 8 Now, (5x - 6y) ∶ (6x - 7y) ⇒ (5 × 7 - 6 × - 8) ∶ (6 × 7 - 7 × - 8) ⇒ (35 + 48) ∶ (42 + 56) ⇒ 83 ∶ 98 ∴ Required answer is 83 ∶ 98
A certain sum of money invested at R% p.a. fetches a compound interest (compounded annually) of 1525.5 and simple interest of Rs.1500 at the end of 2 ye...
Naina lent Rs. 9,800 to Mohini for 4 years and Rs. 8,800 to Mitali for 6 years on simple interest at the same rate of interest and received Rs. 11,040 i...
A person invested a sum of Rs. 9000 at r% per annum at simple interest and a sum of Rs. 13500 at (r-4)% at simple interest. If total interest earned on ...
A sum of money doubles itself in 5 years in how many years it will be 3 times?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and 6 years ?
Find the total amount returned by Manish to the bank at the end of three years, when Rs.24000 is borrowed at the rate of (25/2)% compounded annually?(ca...
Simica invested a certain amount of money at a simple interest rate of 12.5% per annum and earned Rs. 2,400 as interest over 3 years. If Tabu invested t...
A sum of money lent at 5% rate of simple interest. The difference between interest for 6 years and 4 years is Rs. 2000. Find the principal amount.
An initial principal sum of Rs. 8000, invested by Pranav, accrued interest at a compound rate of 20% annually for a period of 2 years. Subsequently, the...
If Rs. 15000 is invested at 14% per annum, compounded yearly, calculate the interest earned in one year.
Relevant for Exams:
