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MAYAPATI YADAV

· started a discussion

· 1 Months ago

Ntpc set 11 (Question:880620.0)

Solution devnagri lipi me nahi hai
Hindi ya English me hi solution de sir plz

Question:
The difference between the simple and compound interest on a certain sum of money for 2 years at 4% is \(\unicode{x20B9} \)8. Find the sum.
Options:
A) \(\unicode{x20B9} \)5,000
B) \(\unicode{x20B9} \)4,000
C) \(\unicode{x20B9} \)3,000
D) \(\unicode{x20B9} \)1,000
Solution:
Let the sum be x, then

Simple interest = \({P*R*T \over 100}\)

Compound interest = A - P

Given,   P = x,  R = 4%,   T = 2 Years

and S.I + C.I = 8 Rs.   \(\rightarrow\)1

Now

\(S.I = {x*4*2\over 100}= {2x\over 25}\)

\(A = P(1+{r \over 100})^T\)

\(A = x(1+ {4 \over 100})^2\)

\(A = x * {26 \over 25}*{26 \over 25}\)

then \(C.I = {676 \over 625}x-x\)

\(C.I = {51 \over 625}x\)

from 1

\(-{2x \over 25}+{51 \over 625}x =8\)

\({-50x+51x \over 625}=8\)

\({x \over 625}=8\)

therefore, Principal P = 5000

X = 5000

Knowledge Expert

· commented

· 1 Months ago

Dear student,
Solution is in Hindi.
Keep learning,
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