Perimeter of a square and circumference of a circle are in the ratio 7:11, respectively. If area of the square is 49 cm2, then find the radius of the circle. (Take π = 22/7)
Let the perimeter of the square and circumference of the circle be ‘7x’ cm and ‘11x’ cm, respectively. Area of square = a2 (Where ‘a’ is the side of the square) ATQ; 49 = a2 Or, a = 7 cm So, perimeter of the square = 7 × 4 = 28 cm So, circumference of circle = 28 × (11x/7x) = 44 cm Circumference of circle = 2πr (Where ‘r’ is the radius) So, 44 = 2 × (22/7) × r Or, r = 7 cm Therefore, radius of the circle is 7 cm.
Rs. 8000 is invested in scheme ‘A’ for 3 years and Rs. 4000 is invested in scheme ‘B’ for 2 years. Scheme ‘A’ offers simple interest of 6% p...
Suresh earned an interest of Rs. 1548 on principal amount of Rs. 4800 at some rate of compound interest in 2 years. How much more/less interest would he...
A man wants to invest Rs. 60660 in bank accounts of his two sons whose ages are 12 years and 16 years in such a way that they will get equal amount at a...
A sofa of MRP 450 is available in Rs.90 cash down payment and 9 monthly equal installment of Rs.45 each. Find the rate of interest per annum.
A man deposited 25% 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 y...
A sum invested at compound interest of 'r%' p.a., compounded annually amounts to Rs. 750 at the end of second year and Rs. 900 at the end of 3rd
Rs.13000 was invested for 2 years in scheme A which offers compound interest at 10% per annum. What approximate interest earned on investing the amount ...
Raj invested equal amounts in two schemes x and y at compound interest. In scheme x, the rate of interest was 8% per annum and in scheme y the rate of i...
There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest of Rs. 16,000 after 3 years at the same rate?
The simple interest accrued in five years on a principal of Rs. 50,000 is one – tenth of the principal. What is the rate of simple interest p.a.?