Question

the time taken for rupees 4400 to bkn Rupees 4851 at 10 % compounded half yearly is solve this problem​

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who solves this sum is a born genius

Answer 1

CORRECT QUESTION :

• ❖ Find the time taken for Rs. 4400 to be Rs. 4851 at 10% interest compounded half yearly.

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REQUIRED FORMULA :

➬ When interest is compounded half yearly,

$\: \: \: \: \: \: \bigstar \: \: \boxed{ \bold{ \: \: A = P \: (1 + \dfrac{ \frac{r}{2} }{100}) {}^{2n} \: \: }}$

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SOLUTION :

❒ Given :-

• Principle, P = Rs. 4400

• Amount, A = Rs. 4851

• Rate of Interest, r = 10%

• Type of Interest = Compounded half yearly

❒ To Find :-

• Time taken/No. of years, n = ?

❒ Calculation :-

➬ Using the formula,

$\bigstar \: \: \sf{A = P \: (1 + \dfrac{ \frac{r}{2} }{100}) {}^{2n}} \\ \\ \sf{ \implies \: 4851 = 4400 \: (1 + \dfrac{ \frac{10}{2} }{100}) {}^{2n}} \\ \\ \sf{ \implies \: 4851 = 4400 \: (1 + \dfrac{ 5 }{100}) {}^{2n}} \\ \\ \sf{ \implies \: \dfrac{4851}{4400} = (1 + \dfrac{5}{100} ) {}^{2n}} \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: \dfrac{441}{400} = \lbrack \: \dfrac{(100 + 5)}{100} \rbrack \: {}^{2n}} \: \: \: \: \: \\ \\ \sf{ \implies \: \dfrac{441}{400} = ( \dfrac{105}{100}) {}^{2n}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: ( \dfrac{105}{100}) {}^{2n} = \dfrac{441}{400}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: (\dfrac{21}{20} ) {}^{2n} = \dfrac{(21) {}^{2} }{(20) {}^{2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: (\dfrac{21}{20} ) {}^{2n} = (\dfrac{21}{20} ) {}^{2}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: 2n = 2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: n = \frac{2}{2}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \large{\therefore \: \: \underline{ \: n = 1 \: }}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• ➲ Hence, the time taken/ number of years, n = 1 year.

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ANSWER :

• ❖ The time taken for Rs. 4400 to be Rs. 4851 at 10% interest compounded half yearly is 1 year.

Answer 2

Answer:

Step-by-step explanation:

1 year