S Purkayastha Solutions for Chapter: Compound Interest, Exercise 10: TEST YOURSELF

Provide $₹1,95,150$ between $A$ and $B$ so that the amount that $A$ receives in $2$ years is the same as that $B$ receives in $4$ years. The interest is compounded annually at the rate of $4\%$ per annum.

Find the sum which amounts to$₹14,310$in $1$ year $9$ months at $8\%$ per annum, compounded annually.

On a certain sum, borrowed at $10\%$ per annum for $1$ year, the difference between the compound interest reckoned half-yearly and that reckoned quarterly is $₹33.61$. Calculate the sum.

At what rate of compound interest will a sum of money become $\frac{125}{64}$ times of itself in $3$ years?

Nikhil invested $₹6000$in a company at compound interest, compounded semi-annually. He receives $₹7986$after $18$months from the company. Find the rate of interest per annum.

A factory increased its production of three-wheelers from $₹80,000$ in the year $2012$ to $₹92,610$ in the year $2015$. Find the rate of growth of production of three-wheelers.

Rishi started a factory with an initial investment of $₹1,00,000$. In the first year he incurred a loss of $5\%$. However, during the second year, he earned a profit of $10\%$ which in the third year rose to $12\%$. Calculate his net profit for the entire period of three years.

Afridi purchased an old scooter for $₹16000$. If the cost of the scooter after $2$ years depreciates to $₹14,440$, find the rate of depreciation.