Question
A lady invests ₹27,600 in three shares in the ratio 3
: 4 : 5 which pay dividends of 20%, 15% and 5% on her investment for that year, respectively. What is the total dividend?Solution
The ratio of the investments in the three shares is 3:4:5. Total investment is 27,600. Sum of the ratio parts = 3 + 4 + 5 = 12 parts. The investment in each share: Investment in the first share = 3/12 × 27,600 = 1/4× 27,600 = 6,900 Investment in the second share = 4/12× 27,600 = 1/3× 27,600 =9,200 Investment in the third share = 5/12× 27,600=5×2300 = 11,500 Dividend from the first share (20%) = 20% × 6,900 = 0.20 x 6,900= 1380 Dividend from the second share (15%) = 15% x 9, 200 = 0.15 x 9,200 =1380 Dividend from the third share (5%) = 5% × 11500 = 0.05 x11500 = 575 Total dividend = 1,380 + 1,380 + 575 = 3335
The volume and height of a cylinder are 2662 cm3 and 7 cm. Find the radius of the cylinder.
A sphere of the greatest possible size is enclosed within a cube whose edge length is 28 cm. Calculate the surface area (in cm²) of the sphere. (Take �...
The sum of length, breadth and height of cuboid is 25cm.If the length of the diagonal is 15 cm, then find the total surface area of the cuboid. (in cm <...
ABC is an equilateral triangle with sides of 42cm. Find the difference between its in-radius and circum-radius.
What is the difference between (in m2) the area of a circular field of radius 35 metres and area of a rectangular piece of land having its di...
The ratio of the breadth to the length of a rectangular field is 2:3. The total cost of cutting the grass of the field at the rate of Rs 6 per m2
In measuring the sides of a rectangle, there is an excess of 14% on one side and 10% deficit on the other. Then the error percent in the area is
Two cylindrical buckets 'A' and 'B' are such that the radius of bucket 'A' is thrice that of bucket 'B' whereas the height of bucket 'A' is twice that o...
The average cost of two chairs is Rs. 15000. The average cost decrease by 30% when one more chair is included. What is the cost price of the 3 rd <...
If the area of a rhombus is 14504 m² and the ratio of the diagonals is 37:49 then find the length of the shorter diagonal.