A bought a number of articles for Rs. 325 and sold all except 5 at a profit of Rs. 3 per article with the total
amount received he could buy 31 more articles than before. Find the cost per article?
Answers
Given : A bought a number of articles for Rs. 325 and sold all except 5 at a profit of Rs. 3 per article . with the total amount received he could buy 31 more articles than before
To find : the cost per article?
Solution:
Let say Cost Per article = C
and let say number of articles bought initially = N
=> CN = 325
sold all except 5 at a profit of Rs. 3 per article
=> Selling Price = (C + 3)(N - 5)
he could buy 31 more articles than before
=> he could buy = N + 31
Cost of N + 31 = C(N + 31)
C(N + 31) = (C + 3)(N - 5)
=> CN + 31C = CN -5C + 3N - 15
=> 36C = 3N - 15
=> 12C = N - 5
=> N = 12C + 5
CN = 325
=> C( 12C + 5) = 325
=> 12C² + 5C = 325
=> 12C² + 5C - 325 = 0
=> 12C² - 60C + 65C - 325 = 0
=> 12C(C - 5) + 65(C - 5) = 0
=> (12C + 65) (C - 5) = 0
=> C = 5 ( as Cost can not be - ve)
Cost Per article = Rs 5
Learn more:
A shopkeeper bought 500 m of cloth at the rate of Rs 32 per metre and
https://brainly.in/question/7849375
a shop keeper earns a profit of 12% in selling book at 10% discount ...
https://brainly.in/question/7947782
Joan sold her mobile phone at a loss of 12%. If her buying price and ...
https://brainly.in/question/12480787