The monthly pocket money of Ravi and Sanjeev are in the ratio 5:7. Their expenditures are in the ratio 3:5. If each saves Rs. 80 every month, find their monthly pocket money
On what sum of money will the difference between the compound interest and simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?
ABC is an isosceles right angled triangle with ∠ABC = 90. A semi-circle is drawn with AC as the diameter. If AB = BC = 7 cm, find the area of the shaded region.
Take ()
Given,
ABC is an isosceles right angled triangle with ∠ABC = 90.
In , using pythogoras theorem,
AC2 = AB2 + BC2
= (7)2 + (7)2
= 49 + 49 = 98
AC = 7
Radius of semi-circle =
Area of the shaded region = Area of semi-circle – Area of ΔABC,
Area of semi-circle =
=
=
=
= cm2
Area of ΔABC =
=
=
Thus,area of shaded region =
=
= 14 cm2
Given a line segment AB joining the points A(– 4, 6) and B(8, – 3). Find
(i) The ratio in which AB is divided by y-axis.
(ii) Find the coordinates of the point of intersection.
(iii) The length of AB.
In the given figure O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm. Calculate the radius of circle.
Marks obtained by 40 students in a short assessment is given below, where a and b are two missing data.
Marks | 5 | 6 | 7 | 8 | 9 |
Number of Students | 6 | a | 16 | 13 | b |
If the mean of the distribution is 7.2, find a and b.
Kiran deposited Rs. 200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.