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Question Number 60016 by otchereabdullai@gmail.com last updated on 17/May/19

A car dealar made a profit of 22.5%  by selling a car for 58000 cedis. Find   correct to two decimal places the   percentage profit if the car had been   sold for 61,200 cedis.

$$\mathrm{A}\:\mathrm{car}\:\mathrm{dealar}\:\mathrm{made}\:\mathrm{a}\:\mathrm{profit}\:\mathrm{of}\:\mathrm{22}.\mathrm{5\%} \\ $$$$\mathrm{by}\:\mathrm{selling}\:\mathrm{a}\:\mathrm{car}\:\mathrm{for}\:\mathrm{58000}\:\mathrm{cedis}.\:\mathrm{Find}\: \\ $$$$\mathrm{correct}\:\mathrm{to}\:\mathrm{two}\:\mathrm{decimal}\:\mathrm{places}\:\mathrm{the}\: \\ $$$$\mathrm{percentage}\:\mathrm{profit}\:\mathrm{if}\:\mathrm{the}\:\mathrm{car}\:\mathrm{had}\:\mathrm{been}\: \\ $$$$\mathrm{sold}\:\mathrm{for}\:\mathrm{61},\mathrm{200}\:\mathrm{cedis}.\: \\ $$

Answered by MJS last updated on 17/May/19

((58000)/x)=1.225  ((61200)/x)=?  x=((58000)/(1.225))  ?=((61200)/(58000))×1.225=1.292586... ≈29.26%

$$\frac{\mathrm{58000}}{{x}}=\mathrm{1}.\mathrm{225} \\ $$$$\frac{\mathrm{61200}}{{x}}=? \\ $$$${x}=\frac{\mathrm{58000}}{\mathrm{1}.\mathrm{225}} \\ $$$$?=\frac{\mathrm{61200}}{\mathrm{58000}}×\mathrm{1}.\mathrm{225}=\mathrm{1}.\mathrm{292586}...\:\approx\mathrm{29}.\mathrm{26\%} \\ $$

Commented by otchereabdullai@gmail.com last updated on 17/May/19

well done prof

$$\mathrm{well}\:\mathrm{done}\:\mathrm{prof} \\ $$

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