[2 Mark Question Answer]

Question 12 Marks

Aryan borrowed a sum or $Rs. 36,000$ for $1 \frac{1}{2}$ years at $10 \%$ p.a. compound interest.
Find the amount he needs to return to clear the debt.

Answer

$ C _2=\frac{39600 \times 1 \times 10}{200}=1980 $
$ P _2=39600+1980=41580$

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Question 22 Marks

Aryan borrowed a sum or $Rs. 36,000$ for $1 \frac{1}{2}$ years at $10 \%$ p.a. compound interest.
Find he tol interest paid by him.

Answer

$C _1=\frac{36000 \times 1 \times 10}{100}=3600 $
$ P _1=36000+3600=39600$

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Question 32 Marks

Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,

Calculate the interest for the fourth year.

Answer

$C _4=\frac{94478.4 \times 1 \times 8}{100}=7558.272$

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Question 42 Marks

A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.
Find the compound interest earned in the last year.

Answer

$C _3=\frac{75816 \times 8 \times 1}{100}=6065.28$

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Question 52 Marks

Mr.Mohan invested $Rs. 12500$ at $16\%$ p.a. compounded annually. If the duration of the deposite was $1.5$ years , find the amount Mr.Mohan received at the end of $1.5$ years.

Answer

$\text { Amount }= P \left(1+\frac{ r }{100}\right)^{ t }$
$ \text { Amount }=12500\left(1+\frac{16}{100}\right)^{1.5}=\text { Rs } 15660$

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Question 62 Marks

Amita wanted to start a business for which she needed $Rs, 40000.$ She borrowed this from Dolly at $10\%$ p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt.

Answer

$\text { Amount }= P \left(1+\frac{ r }{200}\right)^{2 t } $
$\text { Amount }=40000\left(1+\frac{10}{200}\right)^4=\text { Rs } 48620.25$

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Question 72 Marks

Prashant borrowe $Rs. 35000$ at $12 \%$ p.a. compounded semi-annually. Find the amount he needs to pay back at the end of $1 \frac{1}{2}$ years

Answer

$\text { Amount }= P \left(1+\frac{ r }{200}\right)^{2 t } $
$ \text { Amount }=35000\left(1+\frac{12}{200}\right)^3=\text { Rs. } 41685.56$

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Question 82 Marks

Neha loaned $Rs.27500$ to a friend for $1 3/4$ years at $8\%$ p.a. compound interest. Find the interest earned by her.

Answer

$\text { Amount }= P \left(1+\frac{ r }{100}\right)^{ t } $
$ \text { Amount }=27500\left(1+\frac{8}{100}\right)^{1.75}= Rs 3982$

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Mathematics [2 Mark Question Answer]

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