Question

2nd question bta do plz help me guys ​

Answer 1

Answer:

amount= 17576

duration=18 months=3/2year

rate of intrest=8%

principal=?

Step-by-step explanation:

formula=

Answer 2

Answer:

Question :-

• What principal will amount to Rs 17576 in 18 months at a rate of interest 8% p.a compounded half-yearly ?

Given :-

• A amount to Rs 17576 in 18 months at the rate of interest 8% p.a compounded half-yearly.

To Find :-

• What is the principal.

Formula Used :-

$\sf\boxed{\bold{Amount =\: P\bigg(1 + \dfrac{\dfrac{r}{2}}{100}\bigg)^{(2n)}}}$

where,

• P = Principal
• r = Rate of Interest
• n = Time

Solution :-

Given :

• Amount = Rs 17576
• Rate of Interest = 8%
• Time = 18 months = $\sf \dfrac{18}{12}$ = 1.5 years

According to the question by using the formula we get,

↦ $\sf 17576 =\: P\bigg(1 + \dfrac{\dfrac{\cancel{8}}{\cancel{2}}}{100}\bigg)^{{2 \times 1.5}}$

↦ $\sf 17576 =\: P\bigg(1 + \dfrac{\cancel{4}}{\cancel{100}}\bigg)^{3}$

↦ $\sf 17576 =\: P\bigg(\dfrac{26}{25}\bigg)^{3}$

↦ $\sf 17576 =\: P \times \dfrac{26}{25} \times \dfrac{26}{25} \times \dfrac{26}{25}$

↦ $\sf 17576 =\: \dfrac{17576P}{15625}$

By doing cross multiplication we get,

↦ $\sf 17576P =\: 17576 \times 15625$

↦ $\sf P =\: \dfrac{\cancel{17576} \times 15625}{\cancel{17576}}$

➠ $\sf\bold{\red{P =\: Rs\: 15625}}$

$\therefore$ The principal is Rs 15625.