Question

a person sells his table at a profit of 1/8 and the chair at a loss it 1/12 % but on the whole he gain 25 rupees. on the other if he sell the table at the loss of 1/12% and chair at a profit 1/8% then he neithor gain nor loss find the cost price of the table?

Answer 1

Answer:

Rs 360

Step-by-step explanation:

Let the C.P of the table = Rs x

Let the C.P of the chair = Rs y

Case 1:

1) Profit for the table = 1/8(x)

2) Loss for the chair = 1/12(y)

3) S.P of the table = x + 1/8(x)

4) S.P of the chair = y - 1/12(y)

Over all profit = Rs 25

Therefore,

S.P of the table + S.P of the chair = C.P(Chair and table) + Overall profit

=> x + 1/8(x) + y - 1/12(y) = x + y + 25

Taking L.C.M for 8,12

(24x + 3x + 24y - 2y)/24 = x + y + 25

Multiplying by 24 on both sides;

24x + 3x + 24y - 2y = 24x + 24y + 600

=> 3x - 2y = 600  ………… Eq(1)

Case 2:

1) Loss for the table = 1/12(x)

2) Profit for the chair = 1/8(y)

3) S.P of the table = x - 1/12(x)

4) S.P of the chair = y + 1/8(y)

Given that;

There was no profit or loss

Therefore,

S.P of the table + S.P of the chair = C.P(Chair and table) + Overall profit

x - 1/12(x) + y + 1/8(y) = x + y

Taking L.C.M for 8,12

(24x - 2x + 24y + 3y)/24 = x + y

Multiplying by 24 on both sides;

24x - 2x + 24y + 3y = 24x + 24y

2x - 3y = 0   …………. Eq (2)

Solving equations (1) & (2)

3x - 2y = 600      x 3

2x - 3y = 0          x 2

  9x - 6y = 1800

  4x - 6y = 0

(-)  (+)

———————-

5x = 1800

=> x = 360

Therefore, the cost price of the table = x = Rs 360

Answer 2

Answer:

Step-by-step explanation: