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vijay sells a pen at 25% loss and a pencil at 15% profit, he gets Rs.7 as profit.If he sells the pen at 25% profit and the pencil at 10% profit, he gets Rs 6 more. The price  of pen ?

Question

vijay sells a pen at 25% loss and a pencil at 15% profit, he gets Rs.7 as profit.If he sells the pen at 25% profit and the pencil at 10% profit, he gets Rs 6 more. The price  of pen ?

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Solution

Let's denote the cost price of the pen as 'P' and the cost price of the pencil as 'C'.

From the first condition, we know that Vijay sells the pen at a 25% loss and the pencil at a 15% profit, and he gets Rs.7 as profit. This can be written as:

-0.25P + 1.15C = 7 ---- (equation 1)

From the second condition, we know that if he sells the pen at a 25% profit and the pencil at a 10% profit, he gets Rs 6 more. This can be written as:

1.25P + 1.1C = 7 + 6 ---- (equation 2)

Solving these two equations will give us the cost price of the pen and the pencil.

Let's subtract equation 1 from equation 2:

1.25P + 1.1C - (-0.25P + 1.15C) = 13 - 7

This simplifies to:

1.5P - 0.05C = 6 ---- (equation 3)

Now, let's multiply equation 3 by 20 to make it easier to solve:

30P - C = 120 ---- (equation 4)

From equation 1, we can express C in terms of P:

C = (7 + 0.25P) / 1.15 ---- (equation 5)

Now, let's substitute equation 5 into equation 4:

30P - (7 + 0.25P) / 1.15 = 120

Solving this equation will give us the cost price of the pen 'P'.

This problem has been solved

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