Question

Mr Kannan had deposited rupes2500in a bank at 12%per annum. After 7/2years he with draws this amount. Out of this money ,he wants to buy a dressing table costing rupes 4000. How much more money does he need​

Answer 1

➤ Given :-

Principle :- 2500

Rate of interest :- 12%

Time :- ${\tt\dfrac{7}{2}}$ years

Cost of the dressing table :- 4000

➤ To Find :-

How much money is still needed

➤ Formula required :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{Total \: Amount - Cost \: of \: table}}}}$

➤ Solution :-

First, we should find the total amount of the given sum and then subtract the total amount and the cost of the dressing table

Total amount :-

${\tt \longrightarrow \dfrac{2500 \times 12 \times 7}{100 \times 2}}$

${\tt \longrightarrow \dfrac{\cancel{2500} \times 12 \times 7}{\cancel{100} \times 2} = \dfrac{25 \times 12 \times 7}{2}}$

${\tt \longrightarrow \dfrac{25 \times \cancel{12} \times 7}{\cancel{2}} = \boxed{\tt 25 \times 6 \times 7}}$

${\tt \longrightarrow 150 \times 7 = \boxed{\tt 1050}}$

${\tt \longrightarrow 1050 + 2500}$

${\tt \longrightarrow Rs \: \: 3550}$

Now,

Still amount required :-

${\tt \longrightarrow 4000 - 3550}$

${\tt \longrightarrow \boxed{\tt Rs \: \: 450}}$

$\Huge\therefore$ Mr.Kannan needs still ₹ 450 to purchase the dressing table.

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$\dashrightarrow$ Some related formulas :-

Simple Interest :- ${\boxed{\tt\dfrac{P \times R \times T}{100}}}$

Principle :- ${\boxed{\tt\dfrac{SI \times 100}{R \times T}}}$

Rate of interest :- ${\boxed{\tt\dfrac{SI \times 100}{P \times T}}}$

Time :- ${\boxed{\tt\dfrac{SI \times 100}{P \times R}}}$

Answer 2

Answer:

Mr. Kennan need ₹450 to buy a dressing table.

Step-by-step explanation:

$\Large\rm\blue{\underline{Given:}}$

☯️He deposited ₹2500 in bank at 12%/Annum.

☯️The Price of dressing table is ₹4000.

☯️Principal = ₹2500

☯️Rate = 12%

☯️Time :- ${\rm\dfrac{7}{2}\:Years}$

$\Large\rm\blue{\underline{To\:Find:}}$

☯️What is Amount and Simple Interest (S.I)?

☯️How much money need to buy dressing table?

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$\Large\rm\red{Solution:}$

Now first, we have to find Simple Interest (S.I).

Used Furmula:-

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

$Total\:Amount = \bigstar \boxed{ \rm \red{principal + simple \: interest}}$

Then,

${\rm \implies \dfrac{\cancel{2500} \times 12 \times 7}{\cancel{100} \times 2}}$

${\rm \implies \dfrac{25 \times \cancel{12} \times 7}{\cancel{2}} = \boxed{\tt 25 \times 6 \times 7}}$

${\rm \implies 150 \times 7 = \boxed{\tt 1050}}$

Let's find Total Amount,

${\rm \implies 1050 + 2500}$

${\rm \implies ₹ \: \: \bf 3550}$

Now, he have ₹3550 but the price of dressing table is ₹4000.

The price of dressing table is enough money than he have.

So find now that how many money need to buy dressing table.

$\rm Cost\: of \: table - Total \: Amount$

$\implies 4000 - 3550 \\ = \bf 450 \: \: \: \: \: \: \: \:$

Hence, Mr. Kennan need ₹450 to buy dressing table.

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$\Large\mathcal\red{Furmulae:}$

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

$Total\:Amount = \bigstar \boxed{ \rm \red{principal + simple \: interest}}$

$Simple\:Interest = \bigstar \boxed{ \rm \red{Total\:Amount + Principal}}$

$Principal = \bigstar \boxed{ \rm \red{Total\:Amount - Simple\:Interest}}$

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$\Large\mathcal\blue{Difination:}$

1. The money you borrow is called sum of borrowed or Principle.
2. This money would be used by the borrower for some time before it is returned. For keeping the money for some time the borrower has to pay some extra money to the bank. This is known as Interest.
3. You can find the amount you have to pay at the end of the year by adding the sum borrowed and the interest. That is Amount =Principal + Interest.
4. This way of calculating interest where principal is not changed is known as Simple Interest.