A and B can do a piece of work in 6 and 12 days, respectively. If they work alternatively and A begins the work, in how many days will the work be completed?
A dealer buys some goods for ₹3,600. If the overhead expenses be 5% of the cost price, then at what price should it be sold to earn 15%?
The income of a company increases 25% per annum. If its income is Rs. 26,64,000 in the year 1999. what was its income in the year 1997?
A man sold his cycle at 17% loss. If he had sold it for Rs.1056 more, he would have made 5% profit. The cost price of the cycle is ?
Simplify the expression
\(\frac{24\sqrt{45} - 16\sqrt{20} + \sqrt{245} - 47\sqrt{5}}
{3\tfrac{1}{5} + 1\tfrac{2}{5} - 2\tfrac{1}{6} - 2\tfrac{1}{5} - 5\tfrac{2}{5} + 3\tfrac{1}{6}}\)
The speed of a bus from station A to B is 55kmph and while coming back from staion B to A, the speed of the bus is 95 kmph. The avergae speed (in kmph) of the bus during the whole journey is ?
\(72\tfrac{1}{3}\)
\(67\tfrac{1}{3}\)
\(62\tfrac{2}{3}\)
\(69\tfrac{2}{3}\)
What is the total surface area ( in cm2.) of a right circular cone of radius 10.5cm and slant height 13cm? \(\text{(use } \pi = \frac{22}{7}\text{)}\)