A retailer in books makes a gain of 8% on selling a book by offering a discount of 10%, but he incurs a loss,
when he allows a discount of 19%.? What is the percentage of loss?
Answers
Answer:1%
Step-by-step explanation:if he sells the book with no discount he gets 18% profit.
when he sells the book for 19% dicount he has 1% loss
Solution :-
Let us assume that, MP of the book is Rs. 100x .
So,
→ MP = Rs. 100x
→ Discount = 10%
→ SP = (100x * 90)/100 = Rs. 90x
now,
→ SP = Rs. 90x
→ Gain = 8%
→ CP = (90x * 100) / 108
→ CP = Rs. (250x/3)
Again,
→ MP = Rs. 100x
→ Discount = 19%
→ SP = (100x * 81)/100 = Rs. 81x
then,
→ Loss = CP - SP = (250x/3) - 81x = Rs.(7x/3)
therefore,
→ Loss % = (Loss in Rs. * 100)/CP
→ Loss % = (7x/3) * 100) / (250x/3)
→ Loss % = (7x * 100)/250x
→ Loss % = 2.8 % (Ans.)
Hence, the required percentage of loss is 2.8 .
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