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July 21st, 2019, 05:33 AM   #1
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How 1/3 in third step?

A merchant uses a 125 cm tape instead of 1 meter tape while buying cloth. While selling he uses a 90 cm tape instead of a meter tape. If he marks up his merchandise by 33.33% and offers a 10% discount while selling. What is his overall profit?

Sol: Tape ratio = 125/100 which means 5/4

He uses a 90 cm tape instead of 1 meter tape = 10/9

Mark up by 33.33% = 1/3

⇒ 1 + 1/3 = 4/3

10% discount = 1 - 10/100 = 9/10

⇒ 5/4*10/9*4/3*9/10 = 5/3

(S.P)/(C.P) = 5/3

Profits = (5-3)/3 = 2/3

Profit% = 2/3*100 = 66.67%

How 1/3 in third step?

Last edited by Ganesh Ujwal; July 21st, 2019 at 05:49 AM.
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July 21st, 2019, 06:26 AM   #2
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I think you need to stop focusing on the given solutions (and especially any shortcuts), and focus more on solving the problems in a way that makes sense to you.

Also, it really seems like you are having trouble understanding mathematical expressions on a conceptual level. You could probably greatly benefit from going back and re-learning mathematic basics, not as a set of abstract rules, but as a way of representing reality.

[Full disclosure, I have not watched the following videos. My sister swears by this site for re-learning things she forgot/struggled with/never covered in high school, however. Use any resource you wish.]
https://www.khanacademy.org/math/cc-...braic-thinking
https://www.khanacademy.org/math/pre...a-ratios-rates
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July 21st, 2019, 08:49 AM   #3
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I got it. 33.33% = (100/3)/100 = 1/3.
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