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Neil Nilesh

· started a discussion

· 1 Months ago

What is given is inexplicable. Two signs "Multiply" and "equal to" are used one after the other. I don't know what does it mean. Can anyone from your bastard team explain this?

Question:
The marked price and the cost price of an article are in the ratio 

3: 2. The discount percentage offered before selling it and the profit/loss percentage made on it are in the ratio 2 : 3. Find the profit/loss percentage.

Options:
A) 20%
B) 10%
C) 15%
D) 25%
Solution:

Let the marked price and the cost price be Rs.3x and Rs.2x respectively. Let the discount percentage and the profit / loss percentage be 2y% and 3y% respectively

S.P. = M.P – D = C.P. ± P/L

∴ 3x (\(\cfrac{1 – 2y}{100}\)) = 2x (\(\cfrac{1 ± 3y}{100}\))  ….(1)

If there is a profit, then

3x – \(\cfrac{3xy}{100}\)= 2x + \(\cfrac{6xy}{100 }\)  x = \(\cfrac{12xy}{100 }\)   

∴ y = 8 \(\cfrac{1}{3}\)

If there is a loss L.H.S of (1) > R.H.S of (1), which is contradicting (1)

There is no loss

Hence is Profit percentage = 3y % = 25% 

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