Question

Find the difference between compound interest and simple interest on a sum of Rs.48000 at the rate of 15% per annum for three years. तीन वर्षों के लिए प्रति वर्ष 15% की दर से 48,000 रु की राशि पर चक्रवृद्धि ब्याज और साधारण ब्याज के बीच अंतर ज्ञात कीजिए

Answer 1

Difference between simple interest and compund interest is Rs 3402.

Given:

• Principal amount:48000/-
• Rate of interest:15%
• Time: 3 years

To find:

• Find the difference between compound interest and simple interest.

Solution:

Formula to be used:

Simple interest:$\bf SI = \frac{PRT}{100}$

Compound interest

$\bf CI = P(\left( {1 + \frac{R}{100} }\right)^{T} - 1)$

Step 1:

Find simple interest.

Put the values in the formula of simple interest.

$SI = \frac{48000 \times 15 \times 3}{100}$

or

$SI = 480 \times 45$

or

$\bf SI = 21600\:Rs$

Step 2:

Find the compound interest.

Put the values in the formula of compound interest.

$CI = 48000 \left({\left(1+ \frac{15}{100} \right)}^{3} - 1\right)$

or

$CI = 48000 \left({\left( \frac{115}{100} \right)}^{3} - 1\right)$

or

$CI = 48000 (1.520875 - 1)$

or

$CI = 48000 \times 0.520875$

or

$\bf CI= 25002\:Rs$

Step 3:

Find the difference between SI and CI.

$SI-CI = 25002 - 21600$

or

$SI-CI = 3402\:Rs$

Thus,

Difference between simple interest and compund interest is Rs 3402.

Learn more:

1) The difference between simple and compound interest on Rs.1625 for 3 years at 4% per annum in rupees is?

https://brainly.in/question/12195578

2) Find compound interest on Rs 6250 at 8% p.a. for 2 years.

https://brainly.in/question/14854001

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