Ankita purchase a certain number of articles at rate of 5 for 50 Paisa if she had purchased them at a rate of 11 for one rupees she would have spend 50 Paisa less ? how many articles did Ankita purchase?
Answers
Answer:
C.P of 1st type article ( 5 nos.) = 1Re.
C.P of 1 number = 1/5 Re.
C.P of 2nd type article (4 nos.) = 1 Re.
C.P of 1 number = 1/4 Re.
S.P of 9 articles = Rs. 2
S.P of 1 article = Rs. 2/9
Total C.P (2 numbers) = 1/5 + 1/4 = 9/20 Rs.
S.P of 2 articles = 2* 2/9 = 4/9 Rs.
Loss on 2 numbers = C.P - S.P = 9/20 - 4/9 = 81-80/180 = 1/180 [lcm = 180]
Given, he suffered a loss of '3 Rs.'
1/180 Rs=== 2 articles
3 Rs.====== X articles
X = 3*2*180 = 1080 articles
Hope this helps
Step-by-step explanation:
Given :
Ankita purchase a certain number of articles at rate of 5 for 50 Paisa
if she had purchased them at a rate of 11 for one rupees she would have spend 50 Paisa less ?
To Find : how many articles did Ankita purchase?
Solution:
Price of 5 articles = 50 Paise
Price of 1 article = 50/5 = 10 Paise
Assume that x articles bought
=> Cost = 10 *x paise
Price of 11 articles = 1 Rs = 100 Paise
Price of 1 article = 100/11 Paise
Price of x articles = 100x/11 Paise
spend 50 Paisa less
=> 100x/11 = 10x - 50
=> 100x = 110x - 550
=> 10x = 550
=> x = 55
Ankita purchased = 55 articles
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