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Kamal

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· 1 Months ago

solution (Question:573737.0)

2000×3100+P=300∴P=₹240
how is p=240

Question:

Prem invested a certain sum of money in a simple interest  it amounts to \(\unicode{x20B9} \)300 at the end of 3 year and to \(\unicode{x20B9} \)400 at the end of another 5 yr. What was the rate of interest in which he invested his sum?

Options:
A) 12%
B) 24%
C) 6.67%
D) 8.33%
Solution:
Ans:(d) Let principal be P and rate of interest be r% 

then \(\cfrac{P×r×3}{100}+ P = 300\).......(i)

At the end of another 5 years means 3+5=8 years.

\(\cfrac{P×r×8}{100}+ P = 400\).........(ii)

On Subtracting Eq. (i) from Eq. (ii)


\(\cfrac{P×r×5}{100}= 100\)

\(∴ P × r = 2,000\)


From Eq (i),

\(\cfrac{2000×3}{100}+ P = 300 ∴ P = \unicode{x20B9} 240 \)

240 × r = 2000 
r = 8.33%

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