A merchant gets ₹ 1160 by selling article mathrmA at 30 % profit and B at 20 % loss. He gets the same amount if he sells mathrmA at 20 % loss and B at 5 % profit. The cost price of article B is

Question

A merchant gets ₹ 1160 by selling article mathrmA at 30 % profit and B at 20 % loss. He gets the same amount if he sells mathrmA at 20 % loss and B at 5 % profit. The cost price of article B is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Let the cost price of articles A and B be

a

and

b

, respectively.
Given,

1.4 a + 0.7 b = 1050

(1)

0.8 a + 1.15 b = 1050

(2)

0.8 \times Eq. (1) - 1.4 \times Eq. (2)

1.12 a + 0.56 b = 840

1.12 a + 1.61 b = 1470

1.05 b = 630

b = 630/1.05 = 600

Q. A merchant gets ₹1160 by selling article A at 30% profit and B at 20% loss. He gets the same amount if he sells A at 20% loss and B at 5% profit. The cost price of article B is__

Let the cost price of articles A and B be a and b, respectively. Given, 1.4a+0.7b=1050(1) 0.8a+1.15b=1050(2) 0.8× Eq. (1) −1.4× Eq. (2) 1.12a+0.56b=840 1.12a+1.61b=1470 1.05b=630 b=630/1.05=600

Q. A merchant gets $₹1160$ by selling article $A$ at $30%$ profit and $B$ at $20%$ loss. He gets the same amount if he sells $A$ at $20%$ loss and B at $5%$ profit. The cost price of article $B$ is__

Let the cost price of articles A and B be $a$ and $b$ , respectively.
Given, $1.4 a + 0.7 b = 1050$ (1)
$0.8 a + 1.15 b = 1050$ (2)
$0.8 \times Eq. (1) - 1.4 \times Eq. (2)$
$1.12 a + 0.56 b = 840$
$1.12 a + 1.61 b = 1470$
$1.05 b = 630$
$b = 630/1.05 = 600$