On what sum does the difference between the CI and SI for 3 years at 10% is rupees 31?

Given :

The difference between the Simple Interest and the Compound Interest on a sum of money for 3 years at 10% per annum$=$ Rs. 558.

To find :

We have to find the sum.

Solution :

Let the sum be P.

Compound interest $=P[(1+\frac{r}{100})^n - 1]$

                                   $=P[(1+\frac{10}{100})^3 - 1]$

                                   $=P[(1+\frac{1}{10})^3 - 1]$  

                                   $=P[(\frac{11}{10})^3 - 1]$

                                  $=P[\frac{1331}{1000} - 1]$

                                  $=P[\frac{1331 - 1000}{1000}]$

                                 $=P[\frac{331}{1000} ]$

Simple interest $= \frac{P \times n \times r}{100}$

                          $= \frac{P \times 3 \times 10}{100}$

                         $= \frac{3}{10}P$

$CI - SI = 558$

$\frac{331}{1000}P -  \frac{3}{10}P = 558$

$\frac{331}{1000}P -  \frac{3 \times 100}{10 \times 100}P = 558$

$\frac{331}{1000}P -  \frac{300}{1000}P = 558$

$ \frac{31}{1000}P=558$

$ P = \frac{558 \times 1000}{31}$

$P = 18 \times 1000 = 18000$

Therefore, the sum is ₹18000.

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The difference of S.I. and C.I...

Updated On: 27-06-2022

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Answer : Rs. 1000

Answer

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On what sum does the difference between the CI and SI for 3 years at 10% is rupees 31?

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On what sum does the difference between CI and SI for 3 years?

The difference between compound interest and simple interest on a sum for 3 years at 5% per annum is Rs. 122.

What will be the difference between SI and CI at 10% per annum on a sum of Rs 1000 after 4 years?

Answer: Principal sum = ₹1000, interest rate = 10%p.a. , time= 4yrs. ... Compound interest= P{1+ R/100}™ - P =1000{1+10/1000}^4-1000 = 1464.1 - 1000 = 464.1 Thus difference in interests= 464.1 - 400 = ₹64.1.

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.

On what sum does the difference between the compound interest and the simple interest for 3 years at 10% per annum is 31?

∴ Rs 31 is the difference when the sum is Rs (1003.10×31) ( 100 3.10 × 31 ) = Rs 1000.