Question
The income of B is 85% of A and income of C is Rs 3600
more than that of B. The average income of all three together is Rs. 8400. A and B spend 50% of their separate income, while C spends 780 more than what he saves. The savings of C is how much % of average savings of A and B together?Solution
Let the income of A be Rs 100a Than, income of B is = 100 x 0.85a = Rs 85a income of C = Rs (85a + 3600) income of A+B+C = 100a + 85a + 3600 = 270a + 3600  Now , 270a + 3600 = 8400 x 3       270a = 21600       a=80 earning of A= 8000 ; B = 6800 ; C = 10,400 Savings of A= 8000 x ½ = 4000 Savings of B = 6800 x ½ = 3400 Therefore avg savings of A and B = (4000+3400)/2 = Rs 3700 Let savings of C be k Therefore expenditure of C be k+780 Now, k + k + 780 = 10400      2k = 9620       K = 4810 Therefore the % will be = 4810/3700 x 100 = 130%
The length of the each side of an equilateral triangle is 63√3 cm . The area of circumcircle, (cm 2 ) is
∆ABC and ∆DEF are similar and their areas are respectively 16 cm2 and 64 cm 2 . If EF = 6 cm BC is?
Which of the following statements are true about the circumference and diameter of a circle?
The length of the each side of an equilateral triangle is 28 cm. The area of incircle, (cm 2 ) is
In parallelogram ABCD, point E is located on side AB, and line segment DE is drawn perpendicular to AB. Given that AD measures 5 cm, AB is 12 cm, and AE...
Find the distance between two parallel chords of length 24 cm each in a circle of diameter 25 cm?
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 300 then ∠BAC = ?
What will be circumradius of a right angle triangle whose base is 9 cm & height is 40 cm ?
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?
Relevant for Exams:
