Question

please give me a correct answer for this question​

Answer 1

Answer:

Cost price of table was 500.  Cost price of chair was 400.

I hope this helps you.

Step-by-step explanation:

Let t be the cost price of the table and c the cost price of the chair.

With a 10% profit on the table, the amount it sold for was 1.1 t.

With a 25% profit on the chair, the amount it sold for was 1.25 c.

So the total amount received was

1.1 t + 1.25 c = 1050   ... (1)

Had the profit margins been the other way around, we would have

1.25 t + 1.1 c = 1065   ... (2)

We must now solve the system of simultaneous equations in (1) and (2).  You might have your favourite way to solve this, but here is one way...

Multiply equation (1) by 1.25 and equation (2) by 1.1 to get:

(1.1)(1.25) t + 1.25² c = (1.25)(1050)       ... (3)

(1.1)(1.25) t + 1.1² c = (1.1)(1065)     ... (4)

Subtract equation (4) from equation (3) to get:

( 1.25² - 1.1² ) c = (1.25)(1050) - (1.1)(1065)

=> 0.3525 c = 141

=> c = 141 / 0.3525 = 400.

Substituting this into (1) gives:

1.1 t = 1050 - 1.25 c = 1050 - (1.25)(400) = 550

=> t = 550 / 1.1 = 500