A scientist mixes 10% water in his solution but he is not content with it so he again mixes 10% more water in the previous mixture. What is the profit percentage of the scientist if he sells it at cost price:a)15%b)21%c)18%d)16%e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Let Initial Quantity of Solution = 100 litre
After mixing 10% water, Quantity of the mixture = 110 * 110 / 100 = 121 litre
CP of One litre of Solution = Rs.1
Total CP = Rs.100
Total SP = Rs.121
Profit = 121 – 100 = 21
Profit % = 21 * 100/100 = 21%

Answer

Solution:

Let the original solution be x.

After first mixing, the new solution becomes 1.1x (since 10% of x is added).

After second mixing, the new solution becomes 1.1(1.1x) = 1.21x (since 10% of 1.1x is added).

The profit percentage is calculated as (selling price - cost price) / cost price * 100%.

Since the solution is sold at cost price, selling price = cost price = x.

Therefore, the profit percentage is (x - x) / x * 100% = 0%.

Answer: Option B (21%).

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