Question

4. A shopkeeper sells an item at a loss of 25/2%. In order to gain 6% profit, he must increase the sens
price by Rs. 92.50. The cost price of the item is
(a) Rs. 500
(b) Rs. 450
(c) Rs. 550
(d) Rs. 600 (e) Rs. 650​

Answer 1

Step-by-step explanation:

let the cp =x

loss=25/2%

=12.5%

then,

sp ={(100-12.5)/100}*x

=87.5x/100=.875x

again

gain 6%

sp={(100+6)/100}*x

106x/100

=1.06x

he must increase the sens of price by Rs 92.50

1.06x-.875x=92.50

.185x=92.50

x=92.50/.184

=500

Ans=500