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Pankaj singh

· started a discussion

· 1 Months ago

solution (Question:200726.0)

plz show me the solution of all questions

Question:
On what sum of money will the compound interest of 2 yrs be the same as the S.I. on Rs. 416 for 10 yrs, the rate of interest being 8% per annum? 
Options:
A) 2200
B) 2400
C) 2000
D) 1600
Solution:
Ans: (c) S.I. for 10 years on 416 = \(\cfrac{416 × 10 × 8}{100}\)    = 332.8

Let principle for C.I. = P

Then,

C.I. = P × \(\left (1 + \cfrac {8}{100} \right )^2\)  – P

332.8  = P ×  \(\left [ \begin{matrix}\left ( \cfrac {27}{25} \right )^2\\\end{matrix} - 1\right ]\)

P =  \(\cfrac{332.8 × 625}{104}\) 

Principal = Rs. 2000

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