Shamshad Ali buys a scooter for Rs. 22000. He | vedclass

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(A) Shamshad Ali buys a scooter for $Rs. 22000$ and pays $Rs. 4000$ in cash.$	herefore$ Unpaid amount $= Rs. 22000 - Rs. 4000 = Rs. 18000$.He pays $R

Vedclass · Accepted Answer

$Rs. 39100$

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(A) Shamshad Ali buys a scooter for $Rs. 22000$ and pays $Rs. 4000$ in cash.$	herefore$ Unpaid amount $= Rs. 22000 - Rs. 4000 = Rs. 18000$.He pays $Rs. 1000$ annually plus $10\%$ interest on the remaining balance.The interest paid each year is:$10\%$ of $18000, 10\%$ of $17000, 10\%$ of $16000, \dots, 10\%$ of $1000$.Total interest $= 10\% 	imes (18000 + 17000 + 16000 + \dots + 1000)$.This is an $A.P.$ where $a = 1000$,$l = 18000$,and $d = 1000$.Number of terms $n = 18$.Sum $= \frac{n}{2}(a + l) = \frac{18}{2}(1000 + 18000) = 9 	imes 19000 = 171000$.Total interest $= 10\% 	ext{ of } 171000 = Rs. 17100$.Total cost of the scooter $= 	ext{Principal} + 	ext{Total Interest} = 22000 + 17100 = Rs. 39100$.

Shamshad Ali buys a scooter for $Rs. 22000$. He pays $Rs. 4000$ cash and agrees to pay the balance in annual installments of $Rs. 1000$ plus $10\%$ interest on the unpaid amount. How much will the scooter cost him in total?

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