Question

(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}
]

# 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.

Solution