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Question

A man buys a certain number of articles at 15 for 112.50 and sells them at 12 for 108. Find : (i) his gain as percent; (ii) the number of articles sold to make a profit of 75.

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Solution

Let number of articles bought = 60
Note: L.C.M of 15 and 12 = 60
C.P. of the articles = Rs. 112.5015×60
=Rs. 112.50×6015=112.50×4=Rs.450.00
and S.P. of the articles = Rs. 10812×60
=Rs. 108 × 5 = Rs. 540
(i) Gain =S.P. - C.P. =Rs.540-Rs. 450
= Rs. 90
Gain% =GainC.P.×100
= 90450×100=1005 =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 = 6090
To make a profit of Rs. 75, the number of articles needed to be sold
= 6090×75=450090=50


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