If the difference between SI and C.I on a sum of Rs 15000 for 2 years is Rs 96 then the rate is

A. Rs. 230.550

B. Rs. 234.375

C. Rs. 250.129

D. Rs. 324.357

Solution(By Examveda Team)

$$\eqalign{ & {\text{S}}{\text{.I}}{\text{. = Rs}}{\text{. }}\left( {15000 \times \frac{{25}}{2} \times 2 \times \frac{1}{{100}}} \right) \cr & \,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}3750 \cr & {\text{C}}{\text{.I}}{\text{. = Rs}}{\text{. }}\left[ {15000{{\left( {1 + \frac{{25}}{{2 \times 100}}} \right)}^2} - 15000} \right] \cr & = {\text{Rs}}{\text{. }}\left( {15000 \times \frac{9}{8} \times \frac{9}{8} - 15000} \right) \cr & = {\text{Rs}}{\text{. }}\left( {18948.375 - 15000} \right) \cr & = {\text{Rs}}{\text{. }}3984.375 \cr & {\text{Difference }} \cr & {\text{ = Rs}}{\text{. }}\left( {3984.375 - 3750} \right) \cr & = {\text{Rs}}{\text{. }}234.375 \cr} $$

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Let's discuss the concepts related to Interest and Simple and Compound Both. Explore more from Quantitative Aptitude here. Learn now!

Find the difference between the compound interest and the simple interest on an amount of Rs.15000 at 8% per annum for 2 years.

  1. Rs. 120
  2. Rs. 108
  3. Rs. 96
  4. Rs. 100

Answer (Detailed Solution Below)

Option 3 : Rs. 96

Free

SSC GD Previous Paper 2 (Held On: 13 Feb 2019 Shift 1)_Hindi

100 Questions 100 Marks 90 Mins

Given:

P = 15000, and R = 8%, Time = 2 years

Formula used:

The difference between CI and SI for 2 years = Pr2/1002

Where, P = Principal, r = rate 

Calculation:

As we know,

The difference between CI and SI for 2 years = Pr2/1002

The difference between CI and SI for 2 years

⇒ (15000 × 8 × 8)/(100 × 100)

⇒ Rs. 96

∴ The difference between CI and SI for 2 years is Rs. 96.

Let's discuss the concepts related to Interest and Simple and Compound Both. Explore more from Quantitative Aptitude here. Learn now!


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Updated On: 27-06-2022

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Text Solution

A.`9.5%`B. ` 8%`C. `8.5% `D. `9%`

Answer : B

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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₹ 15000 पर एक निश्चित ब्याज की दर से 2 वर्ष के चक्रवृद्धि ब्याज तथा साधारण ब्याज का अंतर ₹ 96 है, तो ब्याज दर ज्ञात कीजिए?

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₹ 15000 की धनराशि पर 2 वर्ष में उपार्जित वार्षिक रूप से संयोजित चक्रवृद्धि ब्याज तथा साधारण ब्याज का अन्तर ₹ 96 है। ब्याज की वार्षिक दर है

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If the difference between SI and C.I on a sum of Rs 15000 for 2 years is Rs 96 then the rate is

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What will be the difference between S.I and C.I on a sum of Rs 15000?

The difference between C.I and S.I on the amount of Rs. 15000 for 2 years is Rs. 96 .

What is the difference in simple interest and compound interest on 15000 for 2 years at 6% per annum compounded annually?

Q10. The difference between the simple interest and the compound interest on a certain sum of money for 2 years at the rate of 6% per annum is Rs. 28.80.

What is the compound interest on 15000 for 2 years?

A = ₹ 18,816. Q. Calculate the amount on ₹ 15,000 in 2 years at 12 % compounded annually.

How do you find the difference between S.I and C.I for 2 years?

Difference between SI and CI for 2 years =P[100R]2..
8=P[10020]2..
⇒8=P[51]2..