What is the difference between the CI compounded annually and SI on * 10000 for 2 years at 6.5% per annum?

The difference between compound interest and simple interest on Rs. x at 6.5% per annum for 2 years is Rs. 33.80. What is the value of x?

  1. Rs. 8500
  2. Rs. 7500
  3. Rs. 8000
  4. Rs. 7800

Answer (Detailed Solution Below)

Option 3 : Rs. 8000

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10 Questions 10 Marks 7 Mins

Given:

The difference between compound interest and simple interest on Rs. x at 6.5% per annum for 2 years is Rs. 33.80. 

Formula used:

Difference between CI and SI for 2 years = Principal amount × (R/100)2

Calculation:

Let Principal amount be Rs X.

33.80 = X × (6.5/100)2

⇒ X = 8000 

∴ Value of X is Rs 8000

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What is the difference between the SI and CI for 2 years on Rs. 10,000 at 5% rate of interest per annum?

  1. 20
  2. 25
  3. 35
  4. 4

Answer (Detailed Solution Below)

Option 2 : 25

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10 Questions 10 Marks 8 Mins

Given:

The SI and CI for 2 years on Rs. 10,000 at 5% rate

Formula used:

Total amount = Principal × [1 + (Rate of interest/100)]Time period

Compound interest = Total amount – Principal

Simple interest = (principal amount × rate of interest × time)/100

Calculation:

S.I. = (10000 × 5 × 2)/100

⇒ S.I. = 1000

⇒ Total amount = 10000 × [1 + (5/100)]2

⇒ Total amount = 10000 × (105/100)2

⇒ Total amount = 1125

⇒ C.I = 11025 - 10000

⇒ C.I. = 1025

Difference between C.I. and S.I.

1025 – 1000

⇒ 25

∴ The difference between the SI and CI is 25

Alternate method:

Difference between CI and SI = P × (r/100)2

Using this formula

Let difference be D

Principal amount = 10000

⇒ D = 10000 × (5/100)2

⇒ D = (10000 × 25)/10000

⇒ D = 25

The difference between the SI and CI is 25.

What is the difference between the CI compounded annually and SI on * 10000 for 2 years at 6.5% per annum?
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What is the difference between the CI compounded annually and SI on * 10000 for 2 years at 6.5% per annum?

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Updated On: 27-06-2022

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Text Solution

A.₹ 32 B. ₹33C. ₹ 36D. ₹ 35

Answer : C

Answer

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What is the difference between the CI compounded annually and SI on * 10000 for 2 years at 6.5% per annum?

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What is the difference between the CI and SI on 10000 for 2 years at 6.5% per annum?

10,000 for two years is Rs. 64 at the same rate of interest per annum.

What is the difference between CI and SI on Rs 10000 for 2 years at 6.5 pa?

Detailed Solution The difference between compound interest and simple interest on Rs. x at 6.5% per annum for 2 years is Rs. 33.80.

What is the difference between Theci compounded annually and SI on10 000 for 2 years at 6.5 \% per annum?

Answer. Answer: 42.25 is answer of this question.

What is the sum of money if difference between CI and SI for 2 years is Rs 625 at the rate of 12.5 PA 1 point 90000 50000 40000 12000?

Detailed Solution. ∴ The required sum is Rs. 10000.