Question 17
If a person sold his watch for Rs.24 with a profit percentage numerically equal to its cost price, then the cost price of the watch is Rs.
Solution
Let say cost price is c.
So, profit percentage=c%.
Selling price=c(1+c/100).
So,
c(1+c/100)=24.
or,$$c^2+100c-2400=0$$
or,$$c^2+120c-20c-2400=0$$
or,$$c(c+120)-20(c+120)=0$$
or,(c+120)(c-20)=0.
so,either c=-120 or c=20.
Cost price cannot be negative value.
so, c =20.
C is correct choice.
Get AI Help
Create a FREE account and get:
- Download Maths Shortcuts PDF
- Get 300+ previous papers with solutions PDF
- 500+ Online Tests for Free
Book Free CAT Mentorship
Get personalized CAT strategy from a 99%iler
500+ students mentored
OTP Verification
Enter the 6-digit code sent to your phone
Booking Summary
Session:Free CAT Mentorship
Phone:
Date:
Time:
Enter OTP
Didn't receive the OTP?
