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A man sells two houses at the rate of ₹1.95 lac each on one. He gains 5% and on other he lost 5% find his gain or loss percent in the whole transaction.

  • a)
    0.25%

  • b)
    .3%

  • c)
    .4%

  • d)
    .5%

Correct answer is option 'A'. Can you explain this answer?
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Given, the man sells two houses at the rate of Rs.1.995 lakhs each.

Let's assume the cost price of the first house is x.

Then, the selling price of the first house is 1.05x (5% gain).

Similarly, let's assume the cost price of the second house is y.

Then, the selling price of the second house is 0.95y (5% loss).

Total selling price = 1.995 + 1.995 = 3.99 lakhs

Total cost price = x + y

We need to find the gain or loss percentage in the whole transaction.

Gain or loss percentage = [(Total selling price - Total cost price)/Total cost price] x 100

Substituting the values, we get:

Gain or loss percentage = [(3.99 - (1.995x + 0.95y))/(x + y)] x 100

Simplifying the above expression, we get:

Gain or loss percentage = [(2.995 - x - y)/(x + y)] x 100

Now, we know that selling price of the first house is 1.995 lakhs.

So, 1.05x = 1.995

=> x = 1.9 lakhs

Similarly, we know that selling price of the second house is 1.995 lakhs.

So, 0.95y = 1.995

=> y = 2.1 lakhs

Substituting the values of x and y, we get:

Gain or loss percentage = [(2.995 - 1.9 - 2.1)/(1.9 + 2.1)] x 100

=> Gain or loss percentage = [(0.995)/4] x 100

=> Gain or loss percentage = 0.24875 x 100

=> Gain or loss percentage = 24.875%

Rounding off to the nearest integer, we get the answer as 0.25%.

Therefore, option A is the correct answer.
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A man sells two houses at the rate of1.95lac each on one. He gains5%and on other he lost5%find his gain or loss percent in the whole transaction.a)0.25%b).3%c).4%d).5%Correct answer is option 'A'. Can you explain this answer?
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