a man borrows rupees 10000 at 5% per annum compound interest hi rupees 35% of the sum borrowed at the end of the first year and 42% of the sum borrowed at the end of the second you how much must he pay at the end of the third year in order to clear the temp
Answers
Answer:For the first year
P
1
=10,000,R=5%
A
1
=10,000(1+
100
5
)
=10000×
100
105
=Rs.10500
At the end of the first year he repay 35% of the sum borrowed so he repay the amount=10000×
100
35
=Rs3500
left amt=10000−3500=Rs.7000
For the second year
P
2
=Rs.7000, R=5%
A
2
=7000(1+
100
5
)
=7000×
100
105
=Rs.7350
At the end of the second year he repay 42% of the sum borrowed so he repay the amt=10000×
100
42
=Rs.4200
Left amt=7350−4200=Rs.3150
For the Third year
P
3
=Rs.3150,R=5%
A
3
=3150(1+
100
5
)
=3150×
100
105
=Rs.3307.50
Hence he pay Rs. 3307.50 at the end of the third year in order to clear the debt.
Step-by-step explanation:For the first year
P
1
=10,000,R=5%
A
1
=10,000(1+
100
5
)
=10000×
100
105
=Rs.10500
At the end of the first year he repay 35% of the sum borrowed so he repay the amount=10000×
100
35
=Rs3500
left amt=10000−3500=Rs.7000
For the second year
P
2
=Rs.7000, R=5%
A
2
=7000(1+
100
5
)
=7000×
100
105
=Rs.7350
At the end of the second year he repay 42% of the sum borrowed so he repay the amt=10000×
100
42
=Rs.4200
Left amt=7350−4200=Rs.3150
For the Third year
P
3
=Rs.3150,R=5%
A
3
=3150(1+
100
5
)
=3150×
100
105
=For the first year
P
1
=10,000,R=5%
A
1
=10,000(1+
100
5
)
=10000×
100
105
=Rs.10500
At the end of the first year he repay 35% of the sum borrowed so he repay the amount=10000×
100
35
=Rs3500
left amt=10000−3500=Rs.7000
For the second year
P
2
=Rs.7000, R=5%
A
2
=7000(1+
100
5
)
=7000×
100
105
=Rs.7350
At the end of the second year he repay 42% of the sum borrowed so he repay the amt=10000×
100
42
=Rs.4200
Left amt=7350−4200=Rs.3150
For the Third year
P
3
=Rs.3150,R=5%
A
3
=3150(1+
100
5
)
=3150×
100
105
=c
Hence he pay Rs. 3307.50 at the end of the third year in order to clear the debt.
Hence he pay Rs. 3307.50 at the end of the third year in order to clear the debt.