9. Pramod borrowed * 60,000 at 12% ...
Question

# 9. Pramod borrowed * 60,000 at 12% per annum compound interest. If he pays 50% of the sum borrowed at the end of the first year and 50% of the remaining loan at the end of the second year, find the amount of loan outstanding at the beginning of the third year.

11th - 12th Class
Maths
Solution
128
4.0 (1 ratings)
(P) Amount Borrowed ( =z 60,000 ) Rate ( y ) interest ( =5 % ) Amonut at the end ( y ) lyeas ( =P #left(1+frac{R}{100}right) ) [ begin{array}{l} =360,000left(1+frac{1}{18}right) =60,0,60 times frac{21}{20} =sum 6,3,000 end{array} ] Amonut repaid at the erd of ( operatorname{lst} y cos =frac{50}{100} x cdot 60,000 ) ( =z 30,000 ) ( therefore ) Principal tor the 2 nd yem ( =sum 63,000-₹ 30,000 ) ( =bar{z} 33,000 ) Amount at the exel of ( z ) teress ( =Pleft(1+frac{R}{100}right) ) [ begin{array}{l} =sum 33,000left(1+frac{5}{100}right) =sum 33,060 times frac{21}{20}, 16,50 =₹ 34,650 end{array} ] Amount repaid at the end of second ( 50 % ) of ( I 60,000=₹ 30,000 ) year ( therefore ) Amount outstanding at the beginning of third year = 7 ? the [ begin{aligned} y e a t &=z cdot 34,650-z 30,000 &=sum 4,650(mathrm{ANs}) end{aligned} ]