Jairam purchased a house in Rs. 15000 and pai | vedclass

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Question

(c) It will take $10$ years for Jairam to pay off Rs. $10000$ in $10$ yearly installments.

He pays $10\%$ annual interest on remaining amount

$\

Vedclass · Accepted Answer

$ 20500$

Vedclass · Answer

(c) It will take $10$ years for Jairam to pay off Rs. $10000$ in $10$ yearly installments.

He pays $10\%$ annual interest on remaining amount

$	herefore $ Money given in first year

$ = 1000 + \frac{{10000 	imes 10}}{{100}} = {m{Rs}}.2000$

Money given in second year $= 1000 +$ interest of$ (10000 -1000)$ with interest rate $10\%$ per annum $ = 1000 + \frac{{9000 	imes 10}}{{100}} = {m{Rs}}.\,1900$

Money paid in third year = Rs. $1800$ etc.

So money given by Jairam in $10$ years will be Rs. $2000$, Rs. $1900$, Rs. $1800$, Rs. $1700$,....,

which is in arithmetic progression, whose first term $a = 2000$and $d = - 100$

Total money given in $10$ years = sum of $10$ terms of arithmetic progression

$ = \frac{{10}}{2}[2(2000) + (10 - 1)( - 100)]$= Rs. $15500$

Therefore, total money given by Jairam

$ = 5000 + 15500 = {m{Rs}}{m{. }}\,{m{20500}}{m{.}}$

Jairam purchased a house in Rs. $15000$ and paid Rs. $5000$ at once. Rest money he promised to pay in annual installment of Rs. $1000$ with $10\%$ per annum interest. How much money is to be paid by Jairam $\mathrm{Rs.}$ ...................

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