Vaishnavi and Saurabh start moving at the same time from city A to city B, 60 km away. Vaishnavi travels 4 km/hr slower than Saurabh. Saurabh reaches city B and at once turns back meeting Vaishnavi, 12 km from city B. What is the speed of Vaishnavi ?

A shopkeeper sells a watch set on discount of 8% of printed price and gain 25 %. If marked price was Rs. 20,000 then, what was the cost price?

The ratio between the ages of a father and his son four year ago was 19:6. If the difference between the ages of the father and son is 26 years, what will be the ratio of their present ages?

The value of $$ {(sec^{2}θ+tanθ\cotθ-tan^{2}θ)}$$

The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]

At what percent per annum will Rs. 3000 amounts to Rs. 3993 in 3 years if the interest is compounded annually?  

 Pipe A alone & pipe B alone can fill the same tank in 5 hours and 4 hours respectively. If the ratio of efficiency of pipe A & B together to that of pipe C alone is 9:2, then find time taken by pipe C alone to fill the same tank?

If $$ {81\ × 343\ ×625}={3^{p}}\ {7^{q}}\ {5^{r}}$$ then find out the value of  $$ {\sqrt{(p-r)^{2}+q^{2}}}$$.