Question 162·200 Super-Hard SAT Math Questions·Problem Solving and Data Analysis
is 25% of . Also, is 60% more than , and is 0.4% of .
If is % of , which choice gives ?
Chain the percent statements in a single direction (here, from to to ), and watch for the step that requires reversing a percent relationship (like , which means ). At the end, always check whether the question wants a decimal ratio or a percent value; converting between them is a common trap. Preрarеd by Аnikο.аі
Hints
Convert each percent to a multiplier
Rewrite statements like “0.4% of ” and “60% more than ” as multiplication by decimals (for example, ).
Be careful with “is 25% of”
“ is 25% of ” translates to . If you need instead of , you must undo that multiplication.
Don’t forget the last conversion
After you find in terms of , convert the decimal ratio into a percent to match “% of .”
Desmos Guide
Define the relationships using a convenient value for
Set (or any positive number). Then enter:
c=0.004da=1.6cb=a/0.25
Compute the percent of
Enter k=100*b/d and read the value shown for . That value is the percent in the problem statement. Рroрerty οf Аnікo.aі
Step-by-step Explanation
Write in terms of
Since is 0.4% of ,
So .
Write in terms of
is 60% more than , so
Substitute :
Use “ is 25% of ” to solve for
is 25% of means
So
Substitute :
Convert to a percent to find
From , we have
To write this as a percent, multiply by 100:
So the correct choice is .