Question
A person invested Rs. ‘x’ in account A and Rs.
‘x/2’ in account B. Account A gives 4% simple interest per annum while account B gives 7%. After 5 years, the total interest received is Rs. 825. What is the value of ‘x’?Solution
ATQ,
x × 0.04 × 5 + x/2 × 0.07 × 5 = 825
0.2x + 0.175x = 825
0.375x = 825
x = 825 / 0.375 = 2200
So, the value of ‘x’ is Rs. 2200
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, ...