Question

In what time will a sum of money double itself at 15% per annum?


✎kindly answer need well explained
✎ not goögle copied or spam
otherwise I will report ur 20+ ans​

Answer 1

Answer:

$\huge\mathfrak\red{question}$

• In what time will a sum of money double itself at 15% per annum?

$\huge\mathfrak\red{answer}$

• principal = ₹P
• amount = ₹2P

therefore,

simple interest= amount - principal = ₹P

rate of interest 15% per annum

• time = 100 × S.I / P × 15
• 100 × P / P × 15 = 20/3 years
• hence time is 6 year 8 months

Answer 2

$\bold\color{blue}{FORMULA\: TO\: BE \:IMPLEMENTED}$

$\underline{\boxed{\sf\purple{Principal = p}}}$

$\underline{\boxed{\sf\purple{Rate\: of \:interest = r}}}$

$\underline{\boxed{\sf\purple{Time = t years}}}$

$\bold\color{blue}{Then}$

$\rm \: Interest = I = \frac{prt}{100}$

$\bold\color{blue}{TO\: DETERMINE}$

In what time a sum of money double itself at 15% per annum

$\bold\color{blue}{CALCULATION}$

$\underline{\boxed{\sf\purple{Principal = p}}}$

$\underline{\boxed{\sf\purple{Rate\: of \:interest = r}}}$

$\underline{\boxed{\sf\purple{Time = t years}}}$

$\small\textbf\color{red}{Amount after t years = 2p}$

$\small\textbf\color{red}{Interest = 2p - p = p}$

$\underline\bold{So}$

$\rm p =\frac{p \times 15 \times t}{100}$

$\implies \rm\: t = \frac{100}{15}$

$\implies\rm \: t = \frac{20}{3}$

$\implies\rm\: t = 6 \frac{2}{3}$

$\underline\bold{RESULT}$

$\rm\color{red} \: 6 \frac{2}{3} \: \: years = 6 \: years \: 8 \: months$

Thankyou :)