B. in how much time will a sum of 1600 amount to 1852.20 at 5% per annum compound interest?

Jump to

• Compound Interest Exercise 14.1
• Compound Interest Exercise 14.2
• Compound Interest Exercise 14.3
• Compound Interest Exercise 14.4
• Compound Interest Exercise 14.5

• Rational Numbers
• Powers
• Squares and Square Roots
• Cube and Cube Roots
• Playing with Numbers
• Algebraic Expressions and Identities
• Factorization
• Division of Algebraic Expressions
• Linear Equation in One Variable
• Direct and Inverse Variations
• Time and Work
• Percentage
• Profit Loss Discount and Value Added Tax
• Compound Interest
• Understanding Shapes Polygons
• Understanding Shapes Quadrilaterals
• Understanding Shapes Special Types Quadrilaterals
• Practical Goemetry
• Visualising Shapes
• Area of Trapezium and Polygon
• Volume Surface Area Cuboid Cube
• Surface Area and Volume of Right Circular Cylinder
• Classification And Tabulation Of Data
• Classification And Tabulation Of Data Graphical Representation Of Data As Histograms
• Pictorial Representation Of Data As Pie Charts Or Circle Graphs
• Data Handling Probability
• Introduction To Graphs

RD Sharma Solutions Class 8 Mathematics Solutions for Compound Interest Exercise 14.2 in Chapter 14 - Compound Interest

Question 44 Compound Interest Exercise 14.2

In how much time will a sum of Rs. 1600 amount to Rs. 1852.20 at 5% perannum compound interest?

Answer:

Given details are,

Principal = Rs 1600

Amount = Rs 1852.20

Rate = 5% per annum

Let time = T years

By using the formula,

A = P (1 + R/100)^n

1852.20 = 1600 (1 + 5/100)^T

1852.20 = 1600 (105/100)^T

(21/20)^T = 1852.20/1600

(21/20)^T = 9261/8000

(21/20)^T = (21/20)^3

So on comparing both the sides, n = T = 3

∴ Time required is 3year

Was This helpful?

Free

20 Questions 30 Marks 18 Mins

Given:

Amount = 1852.20, Principal = 1600, Rate = 5%.

Concept:

A = P(1 + r/100)n 

Calculation:

We know that, A = P(1 + r/100)n 

⇒ 1852.20 = 1600(1 + 5/100)n

⇒ 1852.20 = 1600(105/100)n

⇒ 1852.20 = 1600(1.05)n

⇒ 1852.20/1600 = (1.05)n

⇒ 1.157625 = (1.05)n

⇒ (1.05)3 = (1.05)n

⇒ n = 3.

Therefore in 3 years the rupees 1600 amount to rupees 1852.20 at 5% P.A.

Latest TNPSC Group 2 Updates

Last updated on Sep 26, 2022

The Tamil Nadu Public Service Commission (TNPSC) has released the TNPSC Group 2 Admit Card for the Prelims exam. The prelims exam is scheduled to be conducted on 21st May 2022. A total of 5529 vacancies have been released by the commission for the recruitment of the posts under TNPSC Group 2 like Assistant Section Officer, Revenue Assistant, Assistant, etc. Candidates can refer to the TNPSC Group 2 Previous Year Papers to analyze the type of questions and level of the examination and improve their preparation as well.

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

Given details are,

Principal = Rs 1600

Amount = Rs 1852.20

Rate = 5% per annum

Let time = T years

By using the formula,

A = P (1 + R/100)n

1852.20 = 1600 (1 + 5/100)T

1852.20 = 1600 (105/100)T

(21/20)T = 1852.20/1600

(21/20)T = 9261/8000

(21/20)T = (21/20)3

So on comparing both the sides, n = T = 3

∴ Time required is 3 years.

In how much time will a sum of Rs 1600 amount to Rs 1852.20 at 5% per annum compound interest?

Solution

\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[1852 . 20 = 1600 \left( 1 + \frac{5}{100} \right)^n \]
\[\frac{1852 . 20}{1600} = \left( 1 . 05 \right)^n \]
\[ \left( 1 . 05 \right)^n = 1 . 157625\]
\[ \left( 1 . 05 \right)^n = \left( 1 . 05 \right)^3 \]
On comparing both the sides, we get: 
n = 3
Thus, the required time is three years .

How much time will a sum of 1600 amount to 1852.20 at 5% per annum compound interest?

In what time will the sum of rupees 1600 become 2008 5% interest per annum?

How many years will a sum of 1600 amount to 2116 at 15% compound interest?

At what rate percent per annum compound interest will 1600?