A shopkeeper allows three types of successive discounts as (i) 35% and 5%, (ii) 30% and 10%, (iii) 25% and 15% Which discount is the best for a purchaser?
A shopkeeper allows three types of successive discounts as
(i) 35% and 5%, (ii) 30% and 10%, (iii) 25% and 15%
Which discount is the best for a purchaser?
[A]First
[B]Second
[C]Third
[D]All are equal
First discount
(i) Equivalent discount
$latex = \left ( 35+5-\frac{35\times 5}{100} \right )\%&s=1$
$latex = 40-1.75 = 38.25%$
(ii) Equivalent discount
$latex = \left ( 30+10-\frac{30\times 10}{100} \right )\%&s=1$
$latex = 40-3 = 37%$
(iii) Equivalent discount
$latex = \left ( 25+15-\frac{25\times 15}{100} \right )\%&s=1$
$latex = 40-3.75 = 36.25%$
Now we can easily say that first discount is best.
Hence option [A] is our answer.