Question

on what sum of money will the ci fir 2 years at 5% per annum amount to rupees 768.75​

Answer 1

☆Hello friend☆

Amount = Principal (1+ r/100)^n

Rs 768.75 = P(1 +5/100)^2

Rs 768.75 = P(105/100)^2

Rs 768.75 ×100/105 × 100/105 = P

Rs 697.2 = Principal

Hope it helps....
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Answer 2

★Given:

Amount (A) = ₹768.75

Time (T) = 2 years

Rate = 5%

★To find:

Principal (P) or the sum of money that amounts to 768.75

★We know that,

$A = P(1+\frac{R}{100})^T$

★Solution:

by putting the values of A,R,T

$768.75 = P(1+\frac{5}{100})^2\\ \\ \\ 768.75 = P(1+\frac{1}{20})^2$

$\frac{768.75}{P} = (\frac{21}{20})^2\\ \\ \\ \frac{768.75}{P} =\frac{441}{400} \\ \\ \\ by\:cross\: multiplication\\ \\ \\ 768.75\times 400 = 441 \times P$

$307500 = 441P \\ \\ \\ P = \frac{\cancel{307500}}{\cancel{441}} \\ \\ \\ P = 697.27\:rupees\\ \\ \\ {\pink{\boxed{\therefore\:Principal = 697.27\:rupees}}}$