What you have is a Standing Liberty quarter, it is worth about $7 in worn condition and coins in better conditions can be worth $20 in fine to extra fine condition and about a hundred dollars in higher grades.
Current retail value for a MS-63 1927 Quarter Eagle is $910.00 in the grade of MS-65 (Gem BU) is $4,390.00
Your quarter is almost certainly from 1917, not 1927, because the 3-star design was only used for the first year and a half of the coin's issue. Please see the Related Question.
It depends on what the grade is.
$3000.00
The only "Indian Head" U.S. gold coin dated 1927 is the $2.5 dollar Quarter Eagle. Values for circulated coins run from $270.00 to $400.00. Average Mint State examples are $450.00 to $600.00.
All Standing Liberty quarters have the same size eagle on the reverse, and average circulated coins are valued at $5.00-$7.00.
$11 to $350,000 depending upon the condition of the coin.
More information is needed, as an eagle is found on all U.S. quarters dated before 1999.
$45 to $325,000 depending upon the condition of the coin.
The 1927 Philadelphia issue Standing Liberty quarter is common, the "M" is the designer's initial. In average circulated condition the values are $8.00-$15.00.
$20.00= Double Eagle/ $10.00= Eagle/ $5.00= Half Eagle/ $2.50= Quarter Eagle and $1.00 & $3.00 gold coins are referred to by the face value.
$11 to $11,000 depending on the condition of the coin.