The price of an article was first increased by $10\%$ and then again by $20\%$. If the last increased price be Rs. $33$, the original price was:

If the price of sugar is raised by $25\%$, find by how much percent a householder must reduce his consumption of sugar so that there is no increase in the expenditure of sugar?

A certain sum will amount to Rs.$12,100$ in $2$ years at $10\%$ per annum of compound interest, interest being compounded annually. The sum is:

A work can be completed by P and Q in $12$ days, Q and R in $15$ days, R and P in $20$ days. In how many days P alone can finish the work?

Among three numbers, the first is twice the second and thrice the third. If the average of the three numbers is $49.5$, then the difference between the first and the third number is:

Three numbers are in the ratio $1 : 2 : 3$. By adding $5$ to each of them, the new numbers are in the ratio $2 : 3 : 4$. The numbers are:

A man buys $3$ cows and $8$ goats in Rs. $47,200$. Instead if he would have bought $8$ cows and $3$ goats, he had to pay Rs. $53,000$ more. Cost of one cow is: