Question

14. The difference between the compound interest and simple interest on a certain
sum of money at 6 % per annum for three years is * 46. Find the sum.​

Answer 1

Step-by-step explanation:

1and 121 respectively.find the number of terms in the AP,the common difference between them if the sum of its term

Answer 2

Answer:

The sum is Rs. 4181.82.

Step-by-step explanation:

Given data:

Rate of interest per annum, R = 6%

Time = 3 years

Compound Interest – Simple Interest = 46

To find: the sum

Let the sum be “P”

We know,  

Simple interest, S.I. = $\frac{P * R * T}{100}$ = (P*6*3)/100 = 0.18 P …… (i)

And,  

Compound Interest, C.I.  

= [ P(1 + $\frac{R}{100}$)ⁿ- P ]  

= [ P(1 + $\frac{6}{100}$)³] – P ]  

= P [1.06]³ – P

= 1.191 P – P

= 0.191 P ……. (ii)

Now, we have

C.I. – S.I. = 46

Substituting equation (i) & (ii), we get

0.191 P – 0.18 P = 46

Or, 0.011 P = 46  

Or, P = 46 / 0.011 = Rs. 4181.82