Question
Raju, Shyam and Baburao entered into a partnership with
the initial capital of Rs. (X + 2000), Rs. (X + 10000) and Rs. 28000, respectively. After three months, Raju withdrew (2/3)rd of his initial capital, Shyam withdrew half of his initial capital and Baburao invested Rs. 4000 more. Shyam being active partner gets 20% of the total profit as extra amount and rest profit is shared among them in the ratio of their investment. If the annual profit share of Baburao is Rs. 13950 and total annual profit earned is Rs. 40500, then find the value of ‘’25% of X’’.Solution
Profit share ratio of Raju, Shyam and Baburao, respectively = [3(X + 2000) + 9(X + 2000)/3]:[3(X + 10000) + 9(X + 10000)/2]:[(28000 × 3) + (32000 × 9)] = (3X + 6000 + 3X + 6000):(3X + 30000 + 4.5X + 45000):(84000 + 288000) = (6X + 12000):(7.5X + 75000):372000 Total profit share = Rs. 40500 Extra profit share of Q = 40500 × 20% = Rs. 8100 Remaining profit share = 40500 – 8100 = Rs. 32400 Profit share of Baburao = 372000/(6x + 12000 + 7.5X + 75000 + 372000) 13950/32400 = 372000/(13.5X + 459000) 155/360 = 124000/(4.5X + 153000) 31/72 = 124000/(4.5X + 153000) 31(4.5X + 153000) = 72 × 124000 31(0.5X + 17000) = 8 × 124000 0.5X + 17000 = 8 × 4000 0.5X = 32000 - 17000 X = 15000/0.5 X = 30000 25% of X = 1/4 x 30000 = 7500
There is a rectangular paper, whose length and breadth are in the ratio 12:11, respectively and it has a perimeter of 92 metres. If a triangular piece w...
A cylinder has a radius of 4 cm and a height of 10 cm. A cone with the same radius is placed inside the cylinder, touching the bottom and the sides. If ...
Find out the volume of a tetrahedron whose side is 6√2 cm³ ?
The angle of elevation of the top of a tower from a point on ground which is 30 mtrs. away from the foot of the tower is 30°. Height of the tower is:
If cot x – tan x = 3/2, then what will be the value of cot x + tan x?
The sum of the perimeters of a square and a rectangle is 118 metres. If the sum of the length and breadth of the rectangle is 33 cm, then find the area ...
The length of a rectangle is 5 metres more than its width. If the perimeter of the rectangle is 62 metres then what is the area (in m2 ) of ...
Inside a square land having perimeter equal to 68 metres, leaving aside a circular land of radius 7 metres, the remaining land needs to be levelled at a...
The base of a triangle is 18 cm and height is 12 cm. The height of another triangle of double the area having the base 24 cm is:
Find the area of the triangle ABC. Where AC=17cm, AB=15cm, BC=8cm
Relevant for Exams:
