A shopkeeper reduces the price of his goods by 50% at the time of sale. Initially the price was fixed to get a profit of 25% on selling price after allowing 10% cash discount. His approx % of profit or loss?

Yep answer is wrong correct answer is 26% loss

answer is wrong it is 26% loss
the profit is on sp not on cp

5C/4=9P/10; P=25/18 C.
Then 1/2 * 25/18 C=25/36 C.
Loss is
1-25/36 = 11/36 or 30.55%.

Let marked price be 100.
10% discount on marked price means selling price is 90.
This selling price is fetching 25% profit so cost price is 72.
50% reduction in marked price means actual selling price is 50.
So CP is 72, SP is 50, loss % can be calculated to about 30%.

Take cost price 100.
At 25 Per profit 125.
Discount 10 percent on selling price so 125 Become 138.88(selling price) that is 139 rupees.
But he actually sold at 50 percent less of selling price that is 70 rupees.
So loss 30 percent

Let fixed price 100 then 10 % discount so it comes out to be 90 which is equal to 1.25 of selling price.
90/1.25=72 then but instead of this price he sells it at slashed rate by 50% of fixed price which is 50 so loss is 22 and loss % is 30.

option C

let marked price = 100
so, sp =90
then profit = 90*.25=90/4
so, cp = 90*3/4
now, original sp = 100*.5= 50
so, loss = (270/4-50)/(270/4)=25.92