Gopal invested a total sum of Rs. 8000 in two schemes A and B for two years. Scheme A offers simple interest at the rate of 6% per annum while scheme B offers compound interest compounded annually at the rate of 10% per annum. The total interest accrued at the end of 2 years is Rs. 1392. What is the amount invested in scheme B ?

The speed of a boat in still water is 15 kmph and that of stream is 3 kmph. The boat covers 6 km less distance in upstream in comparison to that covered in downstream. The boat takes 1 hour more in covering the distance in upstream with respect to that in downstream. Find the distance covered by boat in downstream (In km).

A and B started a business in partnership with investments in the respective ratio of 8 : 9. After 4 months of the starting of business, C also joined them with an investment equal to $2 \over 3$ rd of B's investment. Their total profit at the end of the year was Rs. 10920. What is C's share in the annual profit?

In a vessel, there is a certain quantity of mixture of milk and water in the respective ratio of 14 : 3. 17 litres of the mixture is taken out and 9 litres of pure milk is added to the vessel. In the resulting mixture there is 15% of water. What was the initial quantity of the mixture in the vessel ? (In litres).

Ram invests 10% of his monthly salary in savings scheme. He spends 16% of the remaining amount towards rent. He then spends 14% of the remaining amount towards fuel charges. Thereafter he is left with Rs.15750. What is Ram's monthly salary ? (Rounded off to the nearest integer).