Question
Three friends A, B and C entered into partnership by
investing Rs. 10X, Rs. (2X + 62) and Rs. (2000 – 5X) respectively. The ratio of the time period of A, B and C is 4 : 3 : 6 respectively. If the profit-sharing ratio of A, B and C is 12 : 8 : 391 respectively, then find the value of 20X.Solution
Let the time period of A, B and C be 4a, 3a and 6a respectively.
Profit sharing ratio of A, B and C = 10X × 4a : (2X + 62) × 3a : (2000 – 5X) × 6a
ATQ,
(10X × 4a)/((2X + 62) × 3a) = 12/8
=> (40X)/(6X + 186) = 12/8
8 × 40X = 12(6X + 186)
320X = 72X + 2232
248X = 2232
X = 9
Required value = 20 × 9 = 180
Calculate the area of the square whose perimeter is equal to the perimeter of a rectangle which has length 22 cm & breadth 14 cm .
If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the peri...
The external dimensions of an open rectangular wooden box are 88 cm by 74cm by 67cm. If the wood is 2cm thick all around, find the amount of volume of w...
The perimeter of a rectangle is 120% more than perimeter of a square of side 10 cm. If the length of rectangle is 250% more than side of square then fin...
Find the area of a trapezium with parallel sides 14 cm and 26 cm, and height 10 cm.
- The length of a rectangle is the same as the side of a square. If the area of the square is 625 m² and that of the rectangle is 500 m², what is the perim...
A rectangular lawn 35m x 40m has two roads each 4metres wide, running in the middle of it, one parallel to the length and the other parallel to the brea...
If the perimeter of rectangle is 54 cm and its length is 3 cm more than breadth then find its area?
A conical tent of height 5m and base diameter 24m was erected by a company in a park. Find the curved surface area of the tent (in m²).
The Volumes of the two spheres are in the ratio 64:125. Their surface area will be in the ratio.
Relevant for Exams:
