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Question Number 137353 by mey3nipaba last updated on 01/Apr/21

If 75% of 68 is the same as 85% of n, find n.

$$\mathrm{If}\:\mathrm{75\%}\:\mathrm{of}\:\mathrm{68}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}\:\mathrm{as}\:\mathrm{85\%}\:\mathrm{of}\:\mathrm{n},\:\mathrm{find}\:\mathrm{n}. \\ $$

Answered by Rasheed.Sindhi last updated on 01/Apr/21

75% of 68=85% of n  68×((75)/(100))=n×((85)/(100))  85n=68×75  n=((68×75)/(85))=60

$$\mathrm{75\%}\:\mathrm{of}\:\mathrm{68}=\mathrm{85\%}\:\mathrm{of}\:\mathrm{n} \\ $$$$\mathrm{68}×\frac{\mathrm{75}}{\mathrm{100}}={n}×\frac{\mathrm{85}}{\mathrm{100}} \\ $$$$\mathrm{85}{n}=\mathrm{68}×\mathrm{75} \\ $$$${n}=\frac{\mathrm{68}×\mathrm{75}}{\mathrm{85}}=\mathrm{60} \\ $$

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