Divide Rs.3000 in two parts such that one part be lent at 7 1/2 % per annum foe 2 years and the other part at 8% p.a for 3 years, the total interest received is Rs. 540.
Answers
Answer:
Step-by-step explanation:
Divide Rs. 6000 into two parts so that simple interest on the first part for 2 years at 6% p.a. may be equal to the simple interest on the second part for 3 years at 8% p.a.
A. Rs. 4000, Rs. 2000
B. Rs. 5000, Rs. 1000
C. Rs. 3000, Rs. 3000
D. None of these
Answer: Option A
Solution(By Examveda Team)
Let1stpartisxand2ndpartis(6000−x)Accordingtoquestion,x×2×6100=(6000−x)×3×810012x=144000−24xOr,36x=144000Or,x=14400036=Rs.40001stpart=Rs.40002ndpart=Rs.2000
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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.