Question

the market price of the chair is 20% of the market price of a table A shopkeeper gives 20% discount on the chair and the total discount on the chair of on the table is?
1)10.4%
2)12.5%
3)9.3%
4)11.25%​

Answer 1

Answer:

Let C.P. of table = Rs x and

C.P. of chair = Rs y

The shopkeeper sells the table at 8% profit and the chair at 10% discount

⇒x×

100

108

+y×

100

90

=1008

⇒108x+90y=100800

⇒6x+5y=5600 …(i)

The shopkeeper sells the table at 10% profit and the chair at 8% discount and got Rs.20 more.

⇒x×

100

110

+y×

100

92

=1008+20

⇒110x+92y=102800

⇒55x+46y=51400 …(ii)

Now, multiplying (i) by 55 and (ii) by 6, we have

330x+275y=308000 ...(iii)

330x+276y=308400 ...(iv)

Subtracting equation (iv) from (iii), we get

⇒−y=−400

⇒y=400

On substituting the value of y in equation (i), we get

⇒6x+5(400)=5600

⇒6x=5600−2000

⇒x=

6

3600

⇒x=600

Hence, Cost Price of the table = Rs 600

List price of chair =400×

100

90

= Rs 360