Question

By selling a piece of cloth for rs 17.50 ,a cloth merchant suffers a loss of 12 1/2% .At what price should he sell the cloth piece to get a gain 20%​

Answer 1

Answer:

Selling Price of the cloth is Rs.24 when the gain is 20%

Step-by-step explanation:

Given:

S.P of cloth = Rs. 17.50

% loss =12 1/2=(12×2+1) /2 =25/2 %      (convert mixed fraction into improper fraction)

C.P =( S.P ×100) / (100 - % loss)

       =(17.50 ×100 ) /(100 - 25/2)

        =1750 /(200-25/2)

        =(1750 ×2) /175

        =3500 / 175

         =20 Rs.

Now,

C.P = Rs.20

Profit = 20%

S.P. = {C.P × ( 100 +%profit) } /100

       ={20 × (100 + 20)} /100

        =(20 × 120) /100

        =2400/100

         =24 Rs.