Divide ₹3600 into two parts such that if one part be lent at 9% per annum and the other at 10% per annum,the total annual income is ₹333.
Answers
Step-by-step explanation:
Answer
Let Rs.3600 be divided into two parts x and y respectively.
x+y=3600
y=3600−x
As we know that,
S.I.=
100
P×R×t
Now,
For Rs.x,
Rate of interest =9% per annum
t=1
S.I.=
100
x×9×1
For Rs.y,
Rate of interest =10% per annum
t=1
S.I.=
100
y×10×1
⇒S.I.=
100
(3600−x)×10
Now, according to the question-
100
9x
+
100
10(3600−x)
=333
⇒9x+36000−10x=33300
⇒x=36000−33300=2700
Therefore,
y=3600−2700=900
Hence Rs.3600 can be divided in Rs.2700 and Rs.900 respectively.
Answer:
2700 and 900
Step-by-step explanation:
let one part be x, then other part is (3600 - x)
Case 1: SI = (x *9* 1)/100 => SI = 9x/100
Case 2: SI = [(3600-x)*10 1)/100 => SI = (3600-x)/10
according to problem. 9x/100 + (3600-x)/10 = 333
or. (9x + 36000-10x) = 33300
or. -x + 36000 = 33300
or, x= 36000-33300
or x = 2700
two parts are 2700 and 900