a lady bought two bed seats for 624 he sold one at a loss of 14% and the other at a profit of 14%if the selling price of each is the same find the purchase price of each.
Why do u think so
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Answer:
Let the cost of each article be 50x.
SP of the first article = 50x × [114/100]
SP of the second article = 50x × [86/100] = 43x
Ratio of CP and SP of the first article = 50x : 57x
Ratio of CP and SP of the second article = 50x : 43x
Multiply by 43 in equation (1) and multiply by 57 in equation (2)
New ratio of CP and SP of the first article = 2850x : 2451x
New ratio of CP and SP of the second article = 2150x : 2451x
According to the question
⇒ 2850x + 2150x = 624
⇒ 5000x = 624
⇒ 700x = [624/5000] × 700 = 87.36
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