divide rupees 17100 into two parts such that the simple interest on the first part of 3 years at 7% per annum is equal to the simple interest on the second parts for 4 years at 9% per annum
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Step-by-step explanation:
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
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