(D) Initial population $P = 5000$.In the $1^{st}$ year,the population increases by $10 \%$.$P_1 = 5000 + (10/100) \times 5000 = 5000 + 500 = 5500$.In

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(D) Initial population $P = 5000$.In the $1^{st}$ year,the population increases by $10 \%$.$P_1 = 5000 + (10/100) \times 5000 = 5000 + 500 = 5500$.In the $2^{nd}$ year,the population decreases by $20 \%$.$P_2 = 5500 - (20/100) \times 5500 = 5500 - 1100 = 4400$.In the $3^{rd}$ year,the population increases by $30 \%$.$P_3 = 4400 + (30/100) \times 4400 = 4400 + 1320 = 5720$.Thus,the population at the end of $3$ years is $5720$.

Competitive Quantitative Aptitude Interest Simple Interest

Difficult

The population of a particular area of a city is $5000$. It increases by $10 \%$ in $1^{st} \,yr$. It decreases by $20 \%$ in the $2^{nd} \,yr$ because of some reason. In the $3^{rd} \,yr$ the population increases by $30 \%$. What will be the population of the area at the end of $3$ $years$?

A
$5120$
B
$5300$
C
$5400$
D
$5720$

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Interest

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Simple Interest

Arun gives his wife Asha a birthday gift,giving her each year a number of rupees equal to the number of years of her age. If her birthday falls on $August \, 8$,what sum must be placed at simple interest at $7 \%$ on $January \, 1$,before she is $42$,in order to raise the required sum (in $Rs.$)?

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Asmita invests an amount of $Rs. 9535$ at the rate of $4\%$ per annum to obtain a total amount of $Rs. 11442$ on simple interest after a certain period. For how many years did she invest the amount to obtain the total sum?

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The simple interest on a certain sum of money at the rate of $5 \%$ per annum for $8$ years is ₹ $840$. What is the rate of interest per annum for which the same amount of interest can be received on the same sum after $5$ years (in $\%$)?

Medium

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For what sum (in ₹) will the simple interest at $R \%$ per annum for $2$ years be $R$?

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The rate of interest on a sum is $4 \%$ per annum for the first $2$ years,$6 \%$ per annum for the next $4$ years,and $8 \%$ per annum for the period beyond $6$ years. If the simple interest accrued by the sum for a total period of $9$ years is ₹ $1120$,find the sum. (In ₹)

Medium

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The population of a particular area of a city is $5000$. It increases by $10 \%$ in $1^{st} \,yr$. It decreases by $20 \%$ in the $2^{nd} \,yr$ because of some reason. In the $3^{rd} \,yr$ the population increases by $30 \%$. What will be the population of the area at the end of $3$ $years$?

Similar Questions

Arun gives his wife Asha a birthday gift,giving her each year a number of rupees equal to the number of years of her age. If her birthday falls on $August \, 8$,what sum must be placed at simple interest at $7 \%$ on $January \, 1$,before she is $42$,in order to raise the required sum (in $Rs.$)?

Asmita invests an amount of $Rs. 9535$ at the rate of $4\%$ per annum to obtain a total amount of $Rs. 11442$ on simple interest after a certain period. For how many years did she invest the amount to obtain the total sum?

The simple interest on a certain sum of money at the rate of $5 \%$ per annum for $8$ years is ₹ $840$. What is the rate of interest per annum for which the same amount of interest can be received on the same sum after $5$ years (in $\%$)?

For what sum (in ₹) will the simple interest at $R \%$ per annum for $2$ years be $R$?

The rate of interest on a sum is $4 \%$ per annum for the first $2$ years,$6 \%$ per annum for the next $4$ years,and $8 \%$ per annum for the period beyond $6$ years. If the simple interest accrued by the sum for a total period of $9$ years is ₹ $1120$,find the sum. (In ₹)

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