Question

By selling a tablet for ₹4080, I lose 15% on my investmen. What should be the sellig price if I want to make a gain of 20?

Answer 1

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

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Answer 2

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