Question

two dealers have marked an article at the same price the first dealer allows two successive discount of 15% and 5% The Other allows a discount of 20% which is the better of offer? PLEASE SOLVE IN FULL SOLUTION

Answer 1

Let the MP be Rs.x.
For the first dealer-
SP. = (1-r1/100)*(1-r2/100)*MP
= (1-15/100)*(1-5/100)*Rs.x
= (17/20)*(19/20)*Rs.x
= Rs.383x/400


For the second dealer-
SP. = (1-r/100)*MP
= (1-20/100)*Rs.x
= Rs.4x/5

SP of 1st dealer >SP of second dealer
Rs.383/400 > Rs. 4x/5
Difference of both the offers = Rs.383x/400- Rs.4x/5
= Rs.83x/400


Ans.= The second offer is better for the customer .

Answer 2

Answers

Let The MP be Rupees x

So, the

Sp of first dealer

SP = (1-d/100) (1-d/100)* Mp

Sp = (1-15/100) (1-5/100)

Sp = 85/100*95/100*x

Sp = 17/20 * 19/20 * x

Sp = 323/400x

Now Sp of second dealer

Sp = (1-d/100) * Mp

Sp = (1-20/100) * x

Sp = 80/100x

Sp = 4/5x

So,, Sp of 1st dealer > Sp of 2nd dealer

So, 2nd option is better