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 ?*1) 302) 403) 1004) 20
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 ?*1) 302) 403) 1004) 20
Solution
Let's denote the cost price of the pen as 'P' and the cost price of the pencil as 'Q'.
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:
0.75P + 1.15Q = P + Q + 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 + 1.10Q = P + Q + 7 + 6 ---- (equation 2)
Subtract equation 1 from equation 2, we get:
0.5P - 0.05Q = 6
Multiply by 20, we get:
10P - Q = 120 ---- (equation 3)
From equation 1, we can express Q in terms of P:
Q = 0.75P + 7 ---- (equation 4)
Substitute equation 4 into equation 3:
10P - (0.75P + 7) = 120
Solve for P:
P = 40
So, the cost price of the pen is Rs. 40. Therefore, the correct answer is 2) 40.
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