Math, asked by kavitachatomba, 9 months ago

यदि 1000 रु0 का मिश्रधन 2 वर्ष में 1102.50 हो जाता है तो व्याज की दर ज्ञात कीजिए

Answers

Answered by Dɪʏᴀ4Rᴀᴋʜɪ

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$\huge\blue\star\red{QUESTION}$

If the addition of Rs 1000 becomes 1102.50 in 2 years, find the rate of interest ?

यदि 1000 रु0 का मिश्रधन 2 वर्ष में 1102.50 हो जाता है तो व्याज की दर ज्ञात कीजिए.

$\huge\blue\star\red{SOLUTION}$

I PREFER ATTACHMENT..

$\huge\blue\star\red{ANSWER}$

ANSWER=>5%per annum

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Answered by Salmonpanna2022

Step-by-step explanation:

मूलधन (P) = ₹ 1000;

मिश्रधन (A) = ₹ 1102.50;

समय (n) = 2 वर्ष

दर (R) = ?

$\bf∵ \: मिश्रधन = मूलधन \times \bigg(1 + \frac{दर}{100} \bigg) ^{n} \\$

$\bf \therefore \: 1102.50 = 1000 \times \bigg(1 + \frac{R}{100} \bigg) ^{2} \\$

$\rm \longrightarrow \: \frac{11025}{10 \times 1000} = \bigg(1 + \frac{r}{100} \bigg) ^{2} \\$

$\rm \longrightarrow \: \frac{441}{400} = \bigg(1 + \frac{r}{100} \bigg )^{2} \\$

$\rm \longrightarrow \: \bigg( \frac{21}{20} \bigg) ^{2} = \bigg(1 + \frac{r}{100} \bigg) ^{2} \\$

$\rm \longrightarrow \: \frac{21}{20} = 1 + \frac{r}{100} \\$

$\rm \longrightarrow \: \frac{r}{100} = \frac{21}{20} - 1 \\$

$\rm \longrightarrow \: \frac{r}{100} = 1 + \frac{21 - 20}{20} \\$

$\rm \longrightarrow \: \frac{r}{100} = \frac{1}{20} \\$

$\rm \longrightarrow \: r = \cancel{\frac{100}{20} } \\$

$\rm \longrightarrow \: r = 5\% \\$

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