Question

An investment of ₹75,000 shows a loss of 6% the first year, a gain of 8% the second year and
again a loss of 2% in a third year. Find the amount at the end of three years.

Answer 1

The final amount at the end is Rs. 75000

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Answer 2

The amount at the end of the year is 74,617.

Step-by-step explanation:

Given:

The amount of investment $75,000$.

The first year shows a loss of 6%.

The second year shows a gain of 8%.

The third-year shows a loss of 2%.

To find:

To find the amount at the end of three years.

Formula used:

Percentage formula = (Total value) × 100

Solution:

Step 1:

The first year shows a loss of 6%

$\frac{7500}{x} =\frac{100}{6}$

$x=4500$

So the first year shows a loss of 6% is $4500$.

Now find the balance of the first year.

Balance = Total investment - loss of the first year.

$75000-4500=70500$

The balance of the first year is $70500$.

Step 2:

The second year shows a gain of 8%.

$\frac{70500}{x} =\frac{100}{8}$

$x=5640$

Balance = balance of first year + gain of the second year.

$70500+5640=76140$.

The balance of the second year is $76140$.

Step 3:

The third-year shows a loss of 2%.

$\frac{76140}{x} =\frac{100}{2}$

$x=1523$

Balance = balance of second year - loss of the third year.

$76140-1523=74617$

So, the amount at the end of three years is  $74617$.

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