Question
‘A’ and ‘B’ started a business
by investing certain sum in the ratio 2:3, respectively for 6 years. If 30% of the total profit is donated in an orphanage and A’s share is Rs. 7056, then find the total profit generated from the business.Solution
Since, ‘A’ and ‘B’ invested their sums for equal period, therefore, ratio of the profit received by ‘A’ and ‘B’ will be equal to the ratio of sum invested by them i.e. 2:3, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between ‘A’ and ‘B’ = 0.70 × 100x = Rs. 70x Profit received by ‘A’ = 70x × (2/5) = Rs. 28x According to the question, 28x = 7056 => x = 252 Therefore, total profit received by ‘A’ and ‘B’ = 100x = Rs. 25200
Consider two concentric circles having radii 17 cm and 15 cm. What is the length (in cm) of the chord, of the bigger circle, which is a tangent to the s...
If O is the orthocentre of ΔABC , if ∠ BOC = 105 0 then what is the measure of ∠ BAC?
In the given figure CD is parallel to AB then ∠y is?
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 150 then ∠BAC = ?
- Length of a chord in a circle of radius 'r' cm, is 40 cm and distance between chord and centre of the circle is 21 cm. Find the value of (2r + 1).
The sides of a triangle are 10 cm, 17 cm, and 21 cm. Find the area of the triangle using Heron’s formula.
The radius of the incircle of a triangle is 8 cm. if the area of the triangle is 56 cm 2 , then its perimeter is?
The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?
Find the area of triangle having sides 5 m, 6 m, and 9 m.
Relevant for Exams:
