divide rs 17100 into two parts such that the simple interest on the first part for 3 years at 7% per annum is equal to the simple interest on the second part for 4 years at 9% per annum?
Answers
Let first part of 17100 is x and other part is (17100 - x)
case 1 : P = x , t = 3 years and R = 7% per annum.
so, S.I = P × R × t /100
= x × 7 × 3/100
= 21x/100
hence, S.I = 21x/100 .....(1)
case 2 : P = 17100 - x , R = 9% per annum and t = 4 years
so, Simple interest , S.I = P × R × t/100
S.I = (17100 - x) × 9 × 4/100
S.I = 36(17100 - x)/100 .....(2)
from question,
21x/100 = 36(17100 - x)/100
or, 21x = 36(17100 - x)
or, 7x = 12(17100 - x)
or, 7x = 12 × 17100 - 12x
or, 19x = 12 × 17100
or, x = 12 × 900 = 10,800
hence, first part is 10,800 and 2nd part is (17,100 - 10,800) = 6,300
Answer:
1st part =Rs. 10,800
2nd part =Rs. 6300
Step-by-step explanation:
Let the first part be Rs. y and the second part be Rs. (17,100-y)
SI for 1st part =y x 3 x 7/100
=21y/100
SI for 2nd part =(17100-y) x 4 x 9/100
=36(17100-y)/100
According to the question
21y/100=36(17100-y) /100
100 and 100 gets cancelled so now,
21y=615600-36y
21y+36y=57y
57y=615600
y=615600/57
y=Rs.10,800=1st part
2nd part =17100-10800
=Rs. 6300