Question

If an article is sold at a loss of 34.8% instead of at a loss of 17.8% then the seller gets rs 19.50 less.the C.P of the article is..

Answer 1

1147.05 cp ..........may be

Answer 2

Dear Student,

● Answer -

Cost price of article = 114.7 Rs

● Explaination -

Let x be cost price of article.

On initial selling, there is loss of 17.8 %.

SP1 = x × (100-17.8)/100

SP1 = x × 82.2/100

On next selling, there is loss of 34.8 %.

SP2 = x × (100-34.8)/100

SP2 = x × 65.2/100

Difference between loss is -

SP1 - SP2 = x×82.2/100 - x×65.2/100

19.50 = x (82.2-65.2/100

19.50 = x × 17/100

x = 19.50 × 100/17

x = 114.7 Rs

Hence, cost price of article must be 114.7 Rs.

Hope this helps you...