a man buy 15 article for ₹112.50 and sell them at 12 for ₹108 . find the no of articles to make a profit of ₹75
Answers
Answer:
Let number of article bought = 60
Note : L.C.M of 15 and 12 = 60
∴ C.P of the articles = Rs. 112.50/15 × 60
= Rs. (112.50 × 60)/15 = 112.50 × 4 = Rs. 450.00
and S.P. of the articles = Rs. 108/12 × 60
= Rs. 108 × 5 = Rs. 540
(i) Gain = S.P. – C.P. = Rs. 540 – Rs. 450
= Rs 90
∴ Gain % = gain /C.P. × 100
= 90/450 × 100 = 100/5 = 20%
(ii) To make a profit of Rs. 90, the number of articles needed to be sold = 60
To make a profit of Re. 1 the number of articles needed to be sold = 60/90
To make a profit of Rs. 75, the number of articles needed to be sold
= 60/90 × 75 = 4500/90 = 50
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Let number of article bought = 60
Note : L.C.M of 15 and 12 = 60
∴ C.P of the articles = Rs. 112.50/15 × 60
= Rs. (112.50 × 60)/15 = 112.50 × 4 = Rs. 450.00
and S.P. of the articles = Rs. 108/12 × 60
= Rs. 108 × 5 = Rs. 540
(i) Gain = S.P. – C.P. = Rs. 540 – Rs. 450
= Rs 90
∴ Gain % = gain /C.P. × 100
= 90/450 × 100 = 100/5 = 20%
(ii) To make a profit of Rs. 90, the number of articles needed to be sold = 60
To make a profit of Re. 1 the number of articles needed to be sold = 60/90
To make a profit of Rs. 75, the number of articles needed to be sold
= 60/90 × 75 = 4500/90 = 50