Question

27. The price of a table and a chair is 3000. The table
was sold at a 20% profit and the chair at a 10% loss.
If in the transaction a man gains 300, how much
is cost price (in rs ) of the table?
(b) 2500
(c) 2000
(d) None of these
(a) 1000​

Answer 1

Answer:

we can do this ques through options as well which is a very easy way too

if we consider the cp of table be 2000 then sp would be 2400

chair then would be 1000 then sp would be 900

table profit- 400- 100 ( chair loss)

=300

and the ans says that his net gain is 300

Answer 2

The cost price of table is 2000.

GIVEN

Cost price of the table and chair = 3000

Profit% From Table = 20%

Loss% From Chair = 10

Net profit = 300

TO FIND

Cost price of the table.

SOLUTION

We can simply solve the above problem as follows.

The cost price of table and chair = 3000

Let CP of table be x

CP of chair be y

So,

x + y = 3000 (equation 1)

Profit % = 20

Profit on table = 0.2 of x

Loss on chair = 0.1 of y

Net profit = 300

So,

0.2x - 0.1y = 300 (equation 2)

0.2(3000-y) -0.1y = 300

600 - 0.2y - 0.1y = 300

-0.3y = 300 - 600

y = -300/-0.3

y = 1000

Putting the value of y in equation 1

x + 1000 = 3000

x = 3000-1000

x = 2000

Hence, The cost price of table is 2000

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