Question

Rajesh got a salary of Rs. 8600. The salary was invested
by him in two parts. Find the difference between the two
parts of his salary, if in first part he got some simple
interest at 15% per annum in 4 years, which was same as
the second part which he invested at 20% for 3 years.
राजेशला रु.८६०० हजार रुपये पगार झाला. पगार दोन भागांत त्याने
गुंतविला होता. त्याच्या पगाराच्या दोन भागांमधील फरक शोधा, जर पहिल्या
भागात त्याला ४ वर्षांत वार्षिक १५% दराने साधारण व्याज मिळालं तर ३
वर्षांसाठी २०% गुंतवणूक केलेली दुसऱ्या भागाइतकी किती असेल?​

Answer 1

Given:

Rajesh got a salary of Rs. 8600.

The salary was invested by him in two parts.

In the first part, he got some simple interest at 15% per annum in 4 years, which was the same as the second part which he invested at 20% for 3 years.

To find:

The difference between the two parts of his salary

Solution:

Let "x" be the sum of money invested in the first part

So, "(8600 - x)" will be the sum of money invested in the second part.

The formula for calculating simple interest is given as,

$\boxed{\bold{Simple \:Interest = \frac{P \times R \times T}{100} }}$

From the 1st part, he got S.I. at 15% p.a. in 4 years

From the 2nd part, he got the same S.I. at 20% p.a. in 3 years

Now, we can form the equation as,

$\frac{x\times 15 \times 4}{100} = \frac{(8600 -x) \times 20 \times 3}{100}$

$\implies x\times 15 \times 4 = (8600 -x) \times 20 \times 3$

$\implies x = 8600 - x$

$\implies 2x = 8600$

$\implies x = \frac{8600}{2}$

$\implies x = 4300$

∴ 8600 - x = 8600 - 4300 = 4300

∴ The difference between the two parts = Rs. 4300 - Rs. 4300 = 0

Thus, the difference between the two parts of his salary is → 0.

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