332354 + Interview Questions in Secondary School in Math

1.	P= 5000, r=9%, t= 1.5 year. find the compound interest
Answer» ${\large{\underline{\pmb{\sf{Given...}}}}}$ ★ the amount Rs. 5000 is compounded for 1.5 years at the RATE of interest 9% per annum. ${\large{\underline{\pmb{\sf{To \; Find...}}}}}$ ★ The compound interest ${\large{\underline{\pmb{\sf{Understanding\; the \; concept..}}}}}$ ☀️ concept : Now, we have been provided with the principal amount which is Rs. 5000, the rate of interest which is 9% and the time which is 1.5 years. so, now let's use the formula to find thee simple interest ❍ Further adding the simple interest to the principal amount and find the simple interest for the next HALF year which makes it compounded ${\large{\underline{\pmb{\sf{Using\;concept...}}}}}$ ✪ Formula to find the simple interest is : $\tt \dfrac{Principal\times Rate \times Time}{100}$ ${\large{\underline{\pmb{\sf{Solution...}}}}}$ ★ Th compound interest on the following sum of money is Rs. 245.25 ${\large{\underline{\pmb{\sf{Full\; solution...}}}}}$ ~ Using the above mentioned formula let's substitute the VALUES and find the simple interest for the first year as we know that simple and the compound interest for the first year is the same. ➝ Here, Principal = 5000 Rate = 9% time = 1 year ~ now let's substitute these values in the formula ➟ S.I = P × t × R / 100 ➟ S.I = 5000 × 1 ×9 / 100 ➟ SI. = 50 × 1 × 9 ➟ S.I = 450 Henceforth the interest for the first year is Rs.450 ~ Now, let's add up the interest which we found to the principal amount and find the interest for the next half year which is left. Principal = 5000 + 450 Principal = 5450 ~ now let's substitute the values in the formula mentioned above and find the interest, ➟ S.I = P × T × R / 100 ➟ S.I = 5450 × 0.5 9 / 100 ➟ S.I = 2750 × 9 / 100 ➟ S.I = 24525 / 100 ➟ S.I = 245.25 henceforth the compound interest is rs 245.25 ${\large{\underline{\pmb{\sf{ Additional \; Info...}}}}}$ Direct formula to find amount when it's compounded annually $\bf :\implies A = P \bigg[ 1 + \frac{r}{100} \bigg]^{n}$ Formula to find amount when compounded half - yearly $\bf :\implies A = P \bigg[ 1 + \frac{r}{200} \bigg]^{2n}$ Formula to find amount when compounded quarterly $\bf :\implies A = P \bigg[ 1 + \frac{r}{400} \bigg]^{4n}$ Formula to find amount at different rate of interests $\bf :\implies A = P \bigg[ 1 + \frac{r_{1} }{100} \bigg] \bigg[ 1 + \frac{r_{2}}{100} \bigg]\bigg[ 1 + \frac{r_{3}}{100} \bigg]$ *NOTE : You can subtract the principal form the amount to find the compound interest in further

1.

P= 5000, r=9%, t= 1.5 year. find the compound interest

Answer»

${\large{\underline{\pmb{\sf{Given...}}}}}$

★ the amount Rs. 5000 is compounded for 1.5 years at the RATE of interest 9% per annum.

${\large{\underline{\pmb{\sf{To \; Find...}}}}}$

★ The compound interest

${\large{\underline{\pmb{\sf{Understanding\; the \; concept..}}}}}$

☀️ concept : Now, we have been provided with the principal amount which is Rs. 5000, the rate of interest which is 9% and the time which is 1.5 years. so, now let's use the formula to find thee simple interest

❍ Further adding the simple interest to the principal amount and find the simple interest for the next HALF year which makes it compounded

${\large{\underline{\pmb{\sf{Using\;concept...}}}}}$

✪ Formula to find the simple interest is :

$\tt \dfrac{Principal\times Rate \times Time}{100}$

${\large{\underline{\pmb{\sf{Solution...}}}}}$

★ Th compound interest on the following sum of money is Rs. 245.25

${\large{\underline{\pmb{\sf{Full\; solution...}}}}}$

~ Using the above mentioned formula let's substitute the VALUES and find the simple interest for the first year as we know that simple and the compound interest for the first year is the same.

➝ Here,

Principal = 5000
Rate = 9%
time = 1 year

~ now let's substitute these values in the formula

➟ S.I = P × t × R / 100

➟ S.I = 5000 × 1 ×9 / 100

➟ SI. = 50 × 1 × 9

➟ S.I = 450

Henceforth the interest for the first year is Rs.450

~ Now, let's add up the interest which we found to the principal amount and find the interest for the next half year which is left.

Principal = 5000 + 450
Principal = 5450

~ now let's substitute the values in the formula mentioned above and find the interest,

➟ S.I = P × T × R / 100

➟ S.I = 5450 × 0.5 9 / 100

➟ S.I = 2750 × 9 / 100

➟ S.I = 24525 / 100

➟ S.I = 245.25

henceforth the compound interest is rs 245.25

${\large{\underline{\pmb{\sf{ Additional \; Info...}}}}}$

Direct formula to find amount when it's compounded annually

$\bf :\implies A = P \bigg[ 1 + \frac{r}{100} \bigg]^{n}$

Formula to find amount when compounded half - yearly

$\bf :\implies A = P \bigg[ 1 + \frac{r}{200} \bigg]^{2n}$

Formula to find amount when compounded quarterly

$\bf :\implies A = P \bigg[ 1 + \frac{r}{400} \bigg]^{4n}$

Formula to find amount at different rate of interests

$\bf :\implies A = P \bigg[ 1 + \frac{r_{1} }{100} \bigg] \bigg[ 1 + \frac{r_{2}}{100} \bigg]\bigg[ 1 + \frac{r_{3}}{100} \bigg]$

*NOTE : You can subtract the principal form the amount to find the compound interest in further

21.	Solve this problemplssss
Answer» 75-55 =20 degree Have a GREAT DAY

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