Vikram borrowed rupees 6450 at 5% simple interest repayable in 4 equal installments. what will be the annual installment payable by him? a)1710 b)1810 c)1910 d)1860
Answers
Answered by
31
Option B is correct (₹ 1810)
Solution:
Let the annual instalment be ₹ X.
Let the Principal be ₹100
Amount = Principal + interest
Interest= (P ×R× T)/100
Interest= (100 x 5 x 4)/100= ₹20
Amount of ₹ 100 after 4 yr = 100 +20 = ₹ 120
Present Value (PV) of ₹ 120 due after 4 yr = ₹ 100
Present Value (PV) of ₹X due after 4 yr = 100X/120 = 5X/6
Amount of ₹ 100 after e yr = 100 +(100×5×3)/100 = ₹ 100+15= 115
PV of ₹ X due after 3 yr = 100X/115 = 20X/23
Similarly, PV of ₹ X due after 2 yr = 10X/11
PV of ₹ X due after 1 yr = 20X/21
5X/6 + 20X/23 + 10X/11 + 20X/11 = 6450
X = ₹ 1810
Hence, the annual installment payable by him will be ₹ 1810.
HOPE THIS WILL HELP YOU....
Solution:
Let the annual instalment be ₹ X.
Let the Principal be ₹100
Amount = Principal + interest
Interest= (P ×R× T)/100
Interest= (100 x 5 x 4)/100= ₹20
Amount of ₹ 100 after 4 yr = 100 +20 = ₹ 120
Present Value (PV) of ₹ 120 due after 4 yr = ₹ 100
Present Value (PV) of ₹X due after 4 yr = 100X/120 = 5X/6
Amount of ₹ 100 after e yr = 100 +(100×5×3)/100 = ₹ 100+15= 115
PV of ₹ X due after 3 yr = 100X/115 = 20X/23
Similarly, PV of ₹ X due after 2 yr = 10X/11
PV of ₹ X due after 1 yr = 20X/21
5X/6 + 20X/23 + 10X/11 + 20X/11 = 6450
X = ₹ 1810
Hence, the annual installment payable by him will be ₹ 1810.
HOPE THIS WILL HELP YOU....
Answered by
18
Option B is correct (₹ 1810)
Solution:
Let the annual instalment be ₹ X.
Let the Principal be ₹100
Amount = Principal + interest
Interest= (P ×R× T)/100
Interest= (100 x 5 x 4)/100= ₹20
Amount of ₹ 100 after 4 yr = 100 +20 = ₹ 120
Present Value (PV) of ₹ 120 due after 4 yr = ₹ 100
Present Value (PV) of ₹X due after 4 yr = 100X/120 = 5X/6
Amount of ₹ 100 after e yr = 100 +(100×5×3)/100 = ₹ 100+15= 115
PV of ₹ X due after 3 yr = 100X/115 = 20X/23
Similarly, PV of ₹ X due after 2 yr = 10X/11
PV of ₹ X due after 1 yr = 20X/21
5X/6 + 20X/23 + 10X/11 + 20X/11 = 6450
X = ₹ 1810
Hence, the annual installment payable by him will be ₹ 1810.
HOPE THIS WILL HELP YOU
IF IT HELPS U THEN PLEASE
GIVE ME A THANKS
Solution:
Let the annual instalment be ₹ X.
Let the Principal be ₹100
Amount = Principal + interest
Interest= (P ×R× T)/100
Interest= (100 x 5 x 4)/100= ₹20
Amount of ₹ 100 after 4 yr = 100 +20 = ₹ 120
Present Value (PV) of ₹ 120 due after 4 yr = ₹ 100
Present Value (PV) of ₹X due after 4 yr = 100X/120 = 5X/6
Amount of ₹ 100 after e yr = 100 +(100×5×3)/100 = ₹ 100+15= 115
PV of ₹ X due after 3 yr = 100X/115 = 20X/23
Similarly, PV of ₹ X due after 2 yr = 10X/11
PV of ₹ X due after 1 yr = 20X/21
5X/6 + 20X/23 + 10X/11 + 20X/11 = 6450
X = ₹ 1810
Hence, the annual installment payable by him will be ₹ 1810.
HOPE THIS WILL HELP YOU
IF IT HELPS U THEN PLEASE
GIVE ME A THANKS
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