A, B and C enter into a partnership by investing their capitals in the ratio of $$ {2\over 5} : {3\over 4} : {5\over 8}$$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2, 82, 100 at the end of a year.

A person invested a sum of Rs. 18,600 at x% per year and another sum that is twice the former at (x+2)% per year, both at simple interest. If the total interest earned on both investments for $$ {3{1\over 2}}$$ years is Rs.23,110.50, then the rate of  interest per year on the second investment is:

Pipes P and Q can fill a tank in 18 and 27 minutes, respectively, whereas Pipe R can empty the full tank in 54 minutes.  P and Q were opened together for 6 minutes and then   closed and R was opened. The tank was emptied by R alone in :

The total Surface area of a solid hemisphere is 1039.5 cm². The volume ( in cm³) of the hemisphere is: (Take π=22/7)

A can do $$ {4\over 5}$$ of a work in 20 days and B can do $$ {3\over 4}$$ of the same work in 15 days. They work together for 10 days. C alone completes the remaining work in 1 day.  B and C together can complete of $$ {3\over 4}$$ of the same work in:

Raghu sold an article for Rs. 180 after allowing a 20% discount on its marked price. Had he not allowed any discount, he would have gained 20%. What is the cost price of the article?

A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?

What is compound interest on a sum of Rs. 37,500 for $$ {1{1\over 3}}$$ years at a rate of 12 % per year. If the interest is compounded 8 monthly?