Question

The percent loss incurred when an article is sold for rs. 539 is double of a percent loss incurred when the same article is sold for rs. 654.50. what is the cost price of the article? on talentsprint

Answer 1

Solution -

Formula to calculate % loss = (cp - sp) * 100 /cp 

When sp = rs 654.50, Let the % loss be x

Therefore, x = (cp - 654.5) * 100/ cp ---------------1

When sp = rs 539, let the % loss be y

Therefore, y = (cp - 539) * 100 / cp 

given, y = 2x

Therefoe, 2x =  (cp - 539) * 100 / cp

x =  (cp - 539) * 50 / cp ----------------2

By comparing equation 1 and equation 2
 
 (cp - 654.5) * 100/ cp = (cp - 539) * 50 / cp

(cp - 654.5) * 100 = (cp - 539) * 50

(cp - 654.5) * 2 = cp - 539

2cp - 1309 = cp - 539

2cp - cp = 1309 - 539

cp = rs 770.

Answer - Cost price of the article is Rs 770.

Check : % loss when sp = Rs 654.50 and cp = Rs 770 is

% loss = ( 770 - 654.50) * 100 / 770 = 15%

% loss when sp = Rs 539 and cp = Rs 770 is 

% loss = (770 - 539) * 100 / 770 = 30% which is double of 15%.