Question
A number is increased by 20%, and the resulting number
is decreased by 20%. If the initial number is ₹x, the final number is ₹2880. What is the value of x?Solution
Let the initial number be ₹x. First, the number is increased by 20%, so the new value becomes: x + 20% of x = x + 0.2x = 1.2x. Then, it is decreased by 20%, so the new value becomes: 1.2x - 20% of 1.2x = 1.2x - 0.24x = 0.96x. We are told the final value is ₹2880, so: 0.96x = 2880, x = 2880 / 0.96 = ₹3000. Correct option: a) ₹3000.
- If (x 2 = 2x – 1), then find the value of [x³ + (x⁴/1)][1 - x³]
- If x² - 2x + 1 = 0, then find the value of (x² + x⁻²)(x³ + x⁻³).
The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder? (Use π =...
If x2 – xy + y2 = 16 and x4 + x2y2 + y4 = 320 then find x2 + xy + y2...
If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is:
If a + b = 56 and (a – b)² = 496, find the value of the product of a and b.
√4096 + √(?) + 13 – 29 = 148
- If (360 – 335 + 205) ÷ 10 + √1600 = x, then {(x/2) + 8} = ?
Average marks scored by Vineet in five subjects are 60. The average marks scored by him (excluding his highest and lowest marks) are 50 and lowest marks...
The area (in sq, units) of the triangle formed by the graphs of 8x + 3y = 24, 2x+8 = y and the x – axis is:
Relevant for Exams:
