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Sub 505 (Easy)|   Percent and Interest Problems|                        
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Carcass
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read here https://www.helpingwithmath.com/by_subj ... rest10.htm

it is very informative. Hope this helps.

Regards
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carcass
How much did credit-card fraud cost United States banks in year X to the nearest $ 10 million?

(1) In year X, counterfeit cards and telephone and mail-order fraud accounted for 39 percent of the total amount that card fraud cost the banks.

(2) In year X, stolen cards accounted for $ 158.4 million, or 16 percent, of the total amount that credit-card fraud cost the banks.

(1) Counterfeit cards + telephone + mail-order fraud = 39% of Total amount of fraud. No information of either Counterfeit cards + telephone + mail-order fraud or total fraud cost is given; Insufficient.

(2) Stolen cards' cost 158.4 million which is 16% of total fraud cost. So can calculate 100% of fraud cost. Sufficient.

The answer is B.
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carcass
How much did credit-card fraud cost United States banks in year X to the nearest $ 10 million?

(1) In year X, counterfeit cards and telephone and mail-order fraud accounted for 39 percent of the total amount that card fraud cost the banks.

(2) In year X, stolen cards accounted for $ 158.4 million, or 16 percent, of the total amount that credit-card fraud cost the banks.
Solution:

Statement One Alone:

We know the combined percent of counterfeit cards, and telephone and mail-order frauds; however, we don’t know the combined dollar amount of these two types of frauds. For instance, if the combined dollar amount of counterfeit cards and telephone and mail-order fraud was $3.9 million, then the credit card fraud cost US banks $10 million in year X. However, if the combined dollar amount of counterfeit cards and telephone and mail-order fraud was $39 million, then the credit card fraud cost US banks $100 million in year X. Statement one alone is not sufficient.

Statement Two Alone:

We know both the dollar amount and percent of stolen cards in year X. To determine how much credit card fraud cost US banks in year X, we can simply divide $158.4 million by 0.16. Statement two alone is sufficient.

Answer: B
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financestudent
Hi carcass

What does this phrase mean below?

"to the nearest $ 10 million"

carcass
How much did credit-card fraud cost United States banks in year X to the nearest $ 10 million?

(1) In year X, counterfeit cards and telephone and mail-order fraud accounted for 39 percent of the total amount that card fraud cost the banks.

(2) In year X, stolen cards accounted for $ 158.4 million, or 16 percent, of the total amount that credit-card fraud cost the banks.
­Approximate to the nearest $ 10 million.
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Statement 1: We do not know the amount of the credit card fraud, so insufficient.
Statement 2: We know that $158.4 million is equal to 16% of the total amount of fraud, hence the total amount would be ($158.4 million/16%). Hence, sufficient.
Carcass
How much did credit-card fraud cost United States banks in year X to the nearest $ 10 million?

(1) In year X, counterfeit cards and telephone and mail-order fraud accounted for 39 percent of the total amount that card fraud cost the banks.

(2) In year X, stolen cards accounted for $ 158.4 million, or 16 percent, of the total amount that credit-card fraud cost the banks.­


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