By selling his car for $12 000, Mr. Green lost 25%. (Note that here selling price = cost price - loss.) How much did Mr. Green pay for his car?

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Answer 1 · 2018-07-06T04:28:17

$$ 16, 000$ $$16,000$

Given: sold car for $$ 12, 000$ $$12,000$ , lost $25 %$ $25%$ of original value.

Since: $Selling Price = cost - loss$ $"Selling Price " = " cost" - "loss"$ , substitute in known values and create variables that are not known:

variables: $C$ $C$ = cost, $L$ $L$ = loss

$12000 = C - L$ $12000 = C - L$

$note: 25 % = \frac{25}{100} = .25 and L = .25 C$ $" note: "25 % = 25/100 = .25 " and " L = .25C$

$12000 = C - .25 C$ $12000 = C - .25 C$

$12000 = .75 C$ $12000 = .75C$

$C = \frac{12000}{.75} = $ 16, 000$ $C = 12000/.75 = $16,000$