Two numbers are such that their difference, their sum and their product is in the ratio of 1: 7: 24. The product of numbers is

In ΔABC, ∠C=90° and CD is perpendicular to AB at D. If AD/BD=$$ {\sqrt{k}}$$, then AC/BC=?

Two partners invest 1,25,000 and 85,000 respectively in business and agree that 60 % of the profit should be divided equally between them and the remaining profit is it be treated as interest on capital. If one partner gets 300 more than the other, find the total profit made in the business. 

A cylindrical container is filled with ice cream. Its diameter is 12 cm. and height is 15 cm. The whole ice cream is distributed among 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, the diameter of the ice - cream cone is – 

If the right prism having trapezium base, whose parallel side are 13cm and 15cm respectively and the distance between them is 12cm. If the volume of the prism is 2150.4cm^z, then find the height of the prism.

If the numerator of a fraction is increased by 250% and the denominator is increased by 400%. The resultant fraction is7/19 . What is the original fraction?

The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. The simple interest on the same sum at the same rate and for the same time is-

A family has two grandparents, two parents and four children. Two years ago, the average age of grandparents was 72 years. A year ago, the average age of parents was 36 years. Currently, the average age of children is 12 years. What is the current average age of the family?