PRACTICE QUESTIONS COMPETITION WING

Sushma deposited $₹6500$ which amounted to $₹7800$ in $4$ years at simple interest. Had the interest been $2\%$ more per annum, how much would she have received?

The cost of a scooter is $₹10,000$. Its value depreciates at the rate of $8\%$ per annum calculate the total depreciation in its value at the end of $2 years$.

A person borrowed $₹8000$ at $2\frac{1}{2}\%$ per annum under SI. The sum borrowed is immediately given to another person at the same rate on the condition that the interest is compounded semi-annually. Find the amount gained by the first person in one year.

A boy's height is increasing at the rate of $2\%$ when compared to that of the previous year. If his present height is $156.06 cm$, then what was his height two years ago?

Ramu invested a sum of $₹12500$ at $12\%$ per annum compounded interest. He received an amount of $₹15680$ after $x$ years. Then the value of $x$ is _____.

The rate of interest for a sum that becomes $\frac{729}{576}$ times itself in $2$ years, when compounded annually, is _____. 

A certain sum is divided into two parts. Th first is lent at $10\frac{1}{2}\%$ per annum for $3$ years and $4$ months and the second at $8\frac{1}{2}\%$ per annum for $2$ years $6$ months/ Prove that $120$ times of the total is equal to the sum $42$ times of the first part and $25$ times the second part.   

A sum amounts to $₹3600$ at $2\%$ per annum under simple interest and $₹4800$ at $4\%$ per annum under simple interest. The time taken is _____.