Question

i) A farmer sell his product at a loss of 8%. If his Sell Price is Rs.27600, what is his actual loss? What is his cost price?
ii)The cost price of 8 books is equal to the selling price of 6 books. Find the gain per cent.

Answer 1

CP = cost price
SP = sales price
(SP - CP) / CP * 100 = - 8
=> SP = 92 * CP /100
=>  CP = 100 * SP / 92 = Rs 27, 600 * 100 / 92 = Rs 30, 000

Loss = CP - SP =  Rs 2, 400
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Cost Price of 8 books = Selling Price of  6 books.

Let the cost price of 1 book = CP  and selling price of 1 book be SP.
8 * CP = 6 * SP
SP / CP = 8/6 = 4/3
subtact 1 from both sides

  SP / CP - 1 = 4/3 -1 = 1/3
=>   (SP -CP) / CP = 1/3
=>     (SP -CP)/ CP  * 100 = 100/3 = 33.3 %