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Question Number 161025 by MathsFan last updated on 10/Dec/21

Two commodities A and B cost  $70 and $80 per kg respectively.  If 34.5kg of A is mixed with 26kg  of B and the mixture is sold at  $85 per kg, calculate the percentage  profit.  please help me out, I′m somehow  confused

$${Two}\:{commodities}\:{A}\:{and}\:{B}\:{cost} \\ $$$$\$\mathrm{70}\:{and}\:\$\mathrm{80}\:{per}\:{kg}\:{respectively}. \\ $$$${If}\:\mathrm{34}.\mathrm{5}{kg}\:{of}\:{A}\:{is}\:{mixed}\:{with}\:\mathrm{26}{kg} \\ $$$${of}\:{B}\:{and}\:{the}\:{mixture}\:{is}\:{sold}\:{at} \\ $$$$\$\mathrm{85}\:{per}\:{kg},\:{calculate}\:{the}\:{percentage} \\ $$$${profit}. \\ $$$${please}\:{help}\:{me}\:{out},\:{I}'{m}\:{somehow} \\ $$$${confused} \\ $$

Answered by MJS_new last updated on 11/Dec/21

70×34.5+80×26=4495  34.5+26=60.5  4495/60.5=74.2975206...  85/74.2975206...≈1.14404894...  ⇒ answer is 14.40%

$$\mathrm{70}×\mathrm{34}.\mathrm{5}+\mathrm{80}×\mathrm{26}=\mathrm{4495} \\ $$$$\mathrm{34}.\mathrm{5}+\mathrm{26}=\mathrm{60}.\mathrm{5} \\ $$$$\mathrm{4495}/\mathrm{60}.\mathrm{5}=\mathrm{74}.\mathrm{2975206}... \\ $$$$\mathrm{85}/\mathrm{74}.\mathrm{2975206}...\approx\mathrm{1}.\mathrm{14404894}... \\ $$$$\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:\mathrm{14}.\mathrm{40\%} \\ $$

Commented by MathsFan last updated on 11/Dec/21

thank you sir

$${thank}\:{you}\:{sir} \\ $$

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