find the loss or gain percent if CP of 4 articles equal to SP of 5 articles
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Solutions :-
Given :
The selling price of 5 articles is equal to the cost 4 articles.
Find the LCM of 5 and 4 :-
LCM of 5 and 4 = 20
Therefore,
Selling price of 5 articles = Rs 20
Selling price of 1 article = 20/5 = Rs 4
Cost Price of 4 articles = Rs 20
Cost Price of 1 article = 20/4 = Rs 5
Cost Price is greater than the selling price. Therefore, Loss.
Loss = C.P - S.P
= Rs (5 - 4)
= Rs 1
Loss % = (loss × 100)/C.P %
= (1 × 100)/5 %
= 100/5 %
= 20%
Hence,
Loss Percent = 20%
Given :
The selling price of 5 articles is equal to the cost 4 articles.
Find the LCM of 5 and 4 :-
LCM of 5 and 4 = 20
Therefore,
Selling price of 5 articles = Rs 20
Selling price of 1 article = 20/5 = Rs 4
Cost Price of 4 articles = Rs 20
Cost Price of 1 article = 20/4 = Rs 5
Cost Price is greater than the selling price. Therefore, Loss.
Loss = C.P - S.P
= Rs (5 - 4)
= Rs 1
Loss % = (loss × 100)/C.P %
= (1 × 100)/5 %
= 100/5 %
= 20%
Hence,
Loss Percent = 20%
Answered by
11
Question - Find the loss or gain percent if CP of 4 articles is equal to SP of 5 articles.
Solution :-
Let the CP of 4 articles = x
Therefore, SP of 5 articles = x
Explanation :-
↪ CP of 1 article = x / 4
↪ SP of 1 article = x / 5
As CP > SP , we get loss
↪ Loss = CP - SP
= x / 4 - x / 5
= 5x - 4x / 20
= x / 20 ✅✅
↪ Loss % = Loss / CP × 100
= x / 20 / x / 4 × 100
= x / 20 × 4 / x × 100
= 1 / 5 × 100
= 20 % ✔✔
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