Ram borrows a sum of ₹24,000 from his friend Soham on 31December 2021 on the condition that he will return the same after one year with simple interest at 18% per annum. However, Ram is able to return the money on 1August 2022. What amount does Ram have to return to Soham?
Ramesh Chandra purchased 360 bulbs for ₹18 each. However, 20 bulbs were fused and had to be thrown away. The remaining were sold at ₹20 each. Find the gain or loss per cent.
\(7\tfrac{46}{81}\%\ \text{Loss}\)
\(4\tfrac{76}{81}\%\ \text{Loss}\)
\(4\tfrac{76}{81}\%\ \text{Profit}\)
\(7\tfrac{46}{81}\%\ \text{Profit}\)
A solid iron pole consists of a cylinder of height 3.5 m and base diameter 0.8 m. It is surmounted by another co-axial cylinder of height 0.75 m and radius 0.2 m. What is the total surface area (in m² rounded off to the nearest tens place) of the pole? \(\text{(Take } \pi = \frac{22}{7}\text{)}\)
Rakesh marks an item for ₹5,400 and offers two successive discounts of 15% and 5%, respectively. What is the selling price of the item?
A reservoir is in the shape of a frustum of a right circular cone. It is 26 m across at the top and 2 m across at the bottom. It is 5 m deep. Find the area of its curved surface. \(\text{(Take } \pi = \frac{22}{7}\text{)}\)