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A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets?

Question

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets?

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Solution

Let's denote the total cost price of the sweets as X.

According to the problem, the sweet seller sells 3/5th of the sweets at a profit of 10% and the remaining (which is 1 - 3/5 = 2/5) at a loss of 5%.

So, the total profit (Rs 1500) can be calculated as follows:

1500 = 3/5 * X * 10/100 - 2/5 * X * 5/100

Solving this equation will give us the value of X, which is the total cost price of the sweets.

Let's simplify the equation:

1500 = 3X/50 - X/50

1500 = 2X/50

Multiplying both sides by 50 gives:

75000 = 2X

Finally, dividing both sides by 2 gives:

X = 75000 / 2 = Rs 37500

So, the total cost price of the sweets is Rs 37500.

This problem has been solved

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