Question

The difference between selling an article at 8% profit and at 12% profit is Rs.72. Find the cost price of the article and also the two selling prices.

Answer 1

Let C.P. of an article be Rs.100
Profit = 8%
∴ S.P. 
= Rs.100 + 8% of Rs.100
= Rs.100 + Rs.8
= Rs.108
1 Again, Profit = 12%
∴ S.P. 
= Rs.100 + 12% of Rs.100
= Rs.100 + Rs.12
= Rs.112
Difference between the two S.P.s
= Rs.112 - Rs.108
= Rs.4
when difference is Rs.4, then C.P.
= Rs.100
∴ when difference is Rs.72, then C.P.
= `(100 xx 72)/(4)`
= Rs.1800
∴ The cost price of the article is Rs.1800
First S.P.
= Rs.1800 + 8% of Rs.1800

= Rs.1800 + `(8)/(100) xx 1800`
= Rs.1800 + Rs.144
= Rs. 1944
Second S.P.
= Rs.1800 + 12% of Rs.1800
= Rs.1800 + `(12)/(100) xx 1800`
= Rs.1800 + Rs.216
= Rs.2016.