Two numbers are in the ratio 3 ∶ 5. If 4 is subtracted from each of these two numbers, the new numbers then are in the ratio 4 ∶ 7. Find the smaller of the two original numbers.
A, B and C together can complete a work in 10 days. A and B together can do the same work in 12 days. If A, B and C received Rs. 9,000 for doing the work together, then what was the share of C from the above amount?
The radius of the base and the height of a closed cylinder are 14 cm and 14 cm, respectively. The total surface area of the cylinder is equal to the area of a circle. What will be the diameter of the circle? [Use π = 22/7]