Question

Find the compound interest on ₹15625 at 16% per annum for nine months when coumpended quarterly

Answer 1

$\large\pink{\boxed{Solution :\longrightarrow}}$

$\bold{\boxed{Given,}}$

$P = Rs \: \: 15625$

$R = 16\% \: \: p.a.$

$T = 9 \: \: months \\ \\ \: \: \: \: = \frac{9}{12} \: \: years \\ \\ \: \: \: \: = \frac{3}{4} \: \: years$

$\bold{\boxed{Now}}$

$\bold{\boxed{A = P \times (1 + \frac{R}{4 \times 100} ) {}^{4T}}} \\ \\ \: \: \: \: \: \: = Rs \: \: 15625 \times (1 + \frac{16}{400} ) {}^{4 \times \frac{3}{4} } \\ \\ \: \: \: \: \: = Rs \: \: 15625 \times\frac{416}{400} \times \frac{416}{400} \times \frac{416}{400} \\ \\ \: \: \: \: \: = Rs \: \: 17576$

$\bold{\boxed{CI = A - P }}\\ \\ \: \: \: \: \: \: \: \: = Rs \: \: (17576 - 15625) \\ \\ \: \: \: \: \: \: \: \: = Rs \: \: 1951 \: \: \: \blue{\boxed{Ans}}$

$\blue{\boxed{I \: \: hope \: \: it \: \: will \: \: help \: \: you}}$