Question

A man buys a certain number of articles at 15 for Rs. 112.50 and sells them at 12 for Rs.108. Find;

1. This gain as percent;
2. The number of articles sold is necessary to make a profit of Rs. 75.

Answer 1

Let the number of articles bought = 60

Note: L.C.M. of 15 and 12 = 60

∴ C.P. of the articles = Rs.`112.50/15xx60`

= Rs.`(112.50xx60)/15=112.50xx4`

= Rs. 450.00

and S.P. of the articles = Rs.`108/12xx60`

= Rs. 108 × 5 = Rs. 540

(i) Gain = S.P. − C.P.

= Rs. 540 − Rs. 450

= Rs. 90

∴ Gain% =`"Gain"/"C.P."xx100`

=`90/450xx100=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 Rs.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

`=60/90xx75`

`= 4500/90 = 50`