Question
The simple interest on a sum of money for 4 years at 8%
per annum is ₹1,280. What will be the compound interest on the same sum at the same rate of interest for 2 years, compounded annually?Solution
Simple interest for 4 years = ₹1,280 Simple interest for 1 year = ₹1,280 ÷ 4 = ₹320 Principal = (Simple interest × 100) ÷ (Rate × Time) = (320 × 100) ÷ (8 × 1) = ₹4,000 For compound interest: A = P(1 + r/100)^t A = 4000(1 + 8/100)^2 = 4000(1.08)^2 = 4000 × 1.1664 = ₹4,665.6 Compound interest = A - P = ₹4,665.6 - ₹4,000 = ₹665.6 ≈ ₹666 Correct Option: b) ₹666
Two tangents are drawn from an external point P to a circle with center O and radius r. If the distance between P and O is 2r, find the angle subtended ...
What is the perimeter of the square inscribed in a circle of radius 6 cm.
If the radius of a circle is 15 cm, then which of the following is true regarding the length of the chord (L)?
- In a circular field, the area is six times its circumference in terms of numerical value. Calculate the diameter of the field.
- The circumference of a circle is 176 cm while the length of the rectangle is 9 cm more than the radius of the circle. Find the perimeter of the rectangle i...
- The area of a circle is nine times its circumference (numerically). What is the diameter of the circle?
Find the length of the direct common tangent of two circles with radii 8 cm and 5 cm respectively, if the distance between their centres is 11 cm.
Find the area of the sector of a circle with radius 14 cm and central angle 90°.
A sector of a circle has a central angle of 90°. If the radius of the circle is 10 cm, what is the area of the sector?
Two chords of a circle 'PQ' and 'RS' crosses each other at an exterior point 'O'. Determine the length of the chord 'RS' if the chord PQ is 36 cm long, ...
Relevant for Exams:
