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

hello everyone the question say that in how much time will a sum of rupees 1600 amount to Rupees 1852.20 at 5% per annum compound interest so here we will find the time ok that MS number of air in the given information is that principle is given add rupees 1608 which is given as in the question that is a rupees 1852.20 and the rate as a captain La it is 5% per annum ok we will find the time and small and so as we know that my dear send a very important formula we know that which is equal to amount is equal to P then dispensable awesome oneplus RX100

call to the power and another time all the rate of interest and feel the sum of principal and is the amount given circuit the values so 1852.20 is equal to 1600 oneplus R&D rate is 5% coronavirus 100 whole to the power n small and 1852.20 this can be written as 1600 ok equal to 1 + 5 upon and Holistic power and no further we will simplify this will be come I will simplify with to cancel out numerator and denominator with two so this will be called an we will cancel near the decimal so there will be a 10 will be and it so

can you return as 9261 upon 1000 ok we will cancel out with two and this is equal to 5.2 so that upon 2019 20 + 121 Holistic our father this can be written 9261 is the use of 21 and 1000 is the cuber 20 21 22 week and it in this form ok every few days 21.20 so we will get this number is equal to 2122 the power and so here you can see that Ehsas am so we will include both side so we can be creating the experience that it and will be equal to 3 years so this is the final answer and so we can say

question is asking how much time and required time is 3 years ok thank you so much

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• 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

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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?

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 .

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