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

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The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

A. 8

B. 10

C. 12

D. Cannot be determined

E. None of these

Answer: Option A

Solution(By Examveda Team)

$$\left[ {15000 \times {{\left( {1 + \frac{R}{{100}}} \right)}^2} - 15000} \right]$$       $$ - $$ $$\left( {\frac{{15000 \times R \times 2}}{{100}}} \right)$$    $$ = 96$$
$$ \Rightarrow 15000\left[ {{{\left( {1 + \frac{R}{{100}}} \right)}^2} - 1 - \frac{{2R}}{{100}}} \right] = 96$$
$$ \Rightarrow 15000$$  $$\left[ {\frac{{{{\left( {100 + R} \right)}^2} - 10000 - \left( {200 \times R} \right)}}{{10000}}} \right]$$       $$ = 96$$
$$\eqalign{ & \Rightarrow {R^2} = {\frac{{96 \times 2}}{3}} = 64 \cr & \Rightarrow R = 8 \cr & \therefore {\text{Rate}} = 8\% \cr} $$


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Comments ( 1 )

Related Questions on Compound Interest

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

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

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.

Stay updated with the Quantitative Aptitude questions & answers with Testbook. Know more about Interest and ace the concept of Simple and Compound Both.

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