Question

in how many years will rupees 600 amount to rupees 840 at 2% p a simple interest ​

Answer 1

★Answer :

• It will take 20 years to make Rs.600 to Rs.840 at 2% p.a. Simple Interest .

★Step-by-step-Explaination :

❍ Given :-

• Principal = Rs. 600
• Amount = Rs. 840
• Rate of interest = 2 % p.a.

❍ Find :-

• Time = ?

Let :-

• Principal be P .
• Amount be A .
• Rate of Interest be R .
• Simple Interest be S.I .
• Time be T .

★Solution :-

First , we will have to Find Simple Interest ,

$\rm \: { \huge [}Simple \: Interest = Amount - \: Principal { \huge ]}$

$\rm \: { \huge [}Simple \: Interest = 840 - \: 600 { \huge ]}$

$\rm \: { \huge [}Simple \: Interest = 240 { \huge ]}$

Hᴇɴᴄᴇ , We got Simple Interest . We were already given with Principal and Rate of Interest . So, Let's find it out the Time :-

$\rm \: { \huge [}Simple \: Interest = \dfrac{Principal \: \times Rate \: of \: Interest \times Time }{100}{ \huge ]}$

So , by putting the values Let's solve it :-

$\rm \: \implies{ \huge [}240 = \dfrac{600 \: \times 2 \% \times Time }{100}{ \huge ]}$

Time comes to L.H.S of equals to and Simple Interest goes to denominator

$\rm \: \implies{ \huge [}Time = \dfrac{100 \: \times 240 }{600 \times 2}{ \huge ]}$

After Simplifying ,

$\rm \: \implies{ \huge [}Time = { 20 \: years }{ \huge ]}$

Hᴇɴᴄᴇ , It will take 20 years to make Rs.600 to Rs.840 at 2% p.a. Simple Interest .

★Additional Information :-

$\bigstar \boxed{ \sf \:Simple \: Interest = \dfrac{Principal \: \times Rate \: of \: Interest \times Time }{100}}$

$\bigstar\boxed{ \sf \: Principal= \dfrac{ \: Rate \: of \: Interest \times Time }{100 \times Simple \: Interest}}$

$\bigstar\boxed{ \sf \:Rate \: of \: Interest = \dfrac{ \: Principal \times Time }{100 \times Simple \: Interest}}$

$\bigstar \boxed { \sf \:Time= \dfrac{ \: Principal \times Rate \: of \: Interest }{100 \times Simple \: Interest}}$

$\bigstar \boxed { \sf \: Amount =Principal + Simple \: Interest }$

• Principal :- The money borrowed (lent or invested) is called Principal .
• Interest :- The additional money paid by the borrower to the moneylender is lieu of the money used is called Interest .
• Amount :- The total money paid by the borrower to the moneylender is called amount .
• Rate :- It is the Interest paid on Rs.100 for specified period of time is called Rate .
• Time :- It is the time for which the money is borrowed (or invested) .
• Simple Interest :- It is the Interest calculated on the original money (Principal) at given rate of interest for a given fixed time .

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Answer 2

Given

• Amount of Rs. 600

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To Find

• Years taken for Rs. 600 to become Rs. 840 at the rate of 2% per annum.

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Solution

Principal (p) = Rs. 600

Rate of interest (r)t = 2%

Amount (A) = Rs. 840

Apply the values in the simple interest formula that is given below.

$\boxed{\sf Simple \ Interest = Amount - Principal}$

⇒ S.I = 840 - 600

⇒ S.I = Rs. 240

∴ The simple interest is Rs. 240.

To find the time, we will use the formula below.

$\boxed{\sf Simple \ Interest =\frac{p\times r \times t }{100} }$

Here,

• p = Principal
• r = Rate of Interest
• t = Time

Apply the formula.

⇒  $240 = \dfrac{600 \times 2 \times t }{100}$

⇒ 24000 = 1200t

⇒ t = 24000 ÷ 1200

⇒ t = 20 years

∴ It would take 20 years for Rs. 600 to become Rs. 840 at 2% p.a.

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