Question
A man deposited 20% of his salary to a bank which offers
compound interest at the rate of 10% p.a. If the interest earned by him from the bank after 2 years is Rs. 3780, find the monthly expenditure of the man which is 53% of his monthly salary.Solution
Let the amount of money deposited in the bank be Rs. ‘x’. So, x × [(1.1)2 – 1] = 3780 0.21x = 3780, x = 18000 So, monthly income of man = 18000/0.20 = Rs. 90000 Required monthly expenditure of man = 53% of 90000 = Rs. 47700
If x ≠ 0 and x − 1/x = 5, find:
(i) x² + 1/x²
(ii) x³ − 1/x³
Find the largest 5-digit number that is divisible by 12, 15, 18, and 24. Also, what is the remainder when this number is divided by 11?
If z + (1/z) = 2 then find z105 + 1/(z105) = ?
√(92×8 ×52+700) = ?
If x = 21, then the value of x5 - 22x4 + 22x3 - 22x2 + 22x - 1 is
= ? Solve: 5 – 3x > 2x + 10
- If (x 2 = 8x - 16), then find the value of [x³ + (x⁴/16)][4 - x³]
If (a2 + 1/a2 ) = 66, then find the value of (a3 – 1/a3 ).
If a2+2 = 2a
then find a4 - a3 + 2a2 -2a+ 9 = ?