Question

By selling a tablet for $4080,i loss 15% on my investment. what should be the selling price if i want to make a gain of 20%?

Answer 1

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Answer 2

CP = Cost Prise, SP = Selling Price (during loss), SP' = Selling Price (during profit)
loss % = loss/CP * 100
15/100 = loss/CP
(loss = CP - SP) 
3/20 = (CP - SP)/CP
3/20 = CP/CP - SP/CP
3/20 = 1 - SP/CP
SP/CP = 1 - 3/20 = 17/20 ------ EQ. 1
Now,
Profit = (SP' - CP)/CP * 100
20/100 = SP'/CP - CP/CP
1/5 = SP'/CP - 1 
SP'/CP = 6/5 -------- EQ. 2
From EQ. 1 AND EQ.2 WE GET --

20SP/17 = 5SP'/6

PUT SP = 4080 WE GET
SP' = 4080 * 24/17
SP' = 240 * 24
SP' = 5760 Rs. ANSWER.
thanks.....