To find the cost price (CP), use the formula:
CP = Selling Price (SP) / (1 + Gain %)
CP = 48 / (1 + 0.20)
CP = 48 / 1.20
CP = 40
Current total age = 80 years
Three years ago, each person was 3 years younger.
Since there are three people, the total reduction in age is 3×3=93×3=9 years.
So, the total of their ages three years ago is:
80−9=71 years80−9=71 years
The given inequalities define a region in the Cartesian plane:
a - δ ≤ x ≤ a + δ (horizontal bounds)
b - δ ≤ y ≤ b + δ (vertical bounds)
This region forms a square with:
Center at (a, b)
Side length of 2δ
The answer is A square.
To find the fraction equivalent to 2/5%, first convert the percentage to a decimal:
2/5% = (2/5) × (1/100) = 2/500 = 1/250
Every subgroup of a cyclic group is also cyclic.
This is a key result in group theory under abstract algebra.
To find the amount of milk in the mixture:
300 ml (total mixture) × 0.80 (80% pure) = 240 ml (milk)
Leibniz’s theorem gives a formula to find the nth derivative of the product of two functions.
It uses the binomial expansion:
To determine which number does not possess a square root, examine the options:
525: √525 is not a whole number
900: √900 = 30
81: √81 = 9
9: √9 = 3