Question

the difference between the compound interest and simple interest on a certain sum of 2 years at 7.5 % per annum is rupees 360 find the sum​

Answer 1

Answer:

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Step-by-step explanation:

Let X be the sum.

Let X be the sum.2 years compound Interest can be written as:

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 X

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 X

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,CI - SI = 360 — (iii)

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,CI - SI = 360 — (iii)Substituting, equations (i) & (ii) in (iii), we have,

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,CI - SI = 360 — (iii)Substituting, equations (i) & (ii) in (iii), we have,1.155625 X - 1.15 X = 360

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,CI - SI = 360 — (iii)Substituting, equations (i) & (ii) in (iii), we have,1.155625 X - 1.15 X = 3600.005625 X = 360

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,CI - SI = 360 — (iii)Substituting, equations (i) & (ii) in (iii), we have,1.155625 X - 1.15 X = 3600.005625 X = 360X = 360/0.005625

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,CI - SI = 360 — (iii)Substituting, equations (i) & (ii) in (iii), we have,1.155625 X - 1.15 X = 3600.005625 X = 360X = 360/0.005625X = 64000.

Let X be the sum.2 years compound Interest can be written as:CI = X (1 + 7.5/100)^2CI = 1.075^2 XCI = 1.155625 X2 years Simple Interest can be written as:SI = X + 2 * X * 7.5/100SI = X + 0.15 XSI = 1.15 X — (ii)Now, we know that,CI - SI = 360 — (iii)Substituting, equations (i) & (ii) in (iii), we have,1.155625 X - 1.15 X = 3600.005625 X = 360X = 360/0.005625X = 64000.So, the sum is Rs. 64,000/-.

Answered By : Veer Gadhavi ☑️