Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/MAHARASHTRA OLD/Class 9/Mathematics

Solve the following using two variables:
A man brought a scooter and a T.V.set for Rs.24,000. After sometime, he sold scooter at 27% profit and T.V.set at 15% profit. On whole, he made 20% profit. Find out the cost price os scooter and T.V.set

Asked by kishor.123 11th January 2015, 2:47 PM
Answered by Expert
Answer:
L e t space x space b e space t h e space C. P space o f space t h e space s c o o t e r space a n d space y space b e space t h e space C. P space o f space T V. G i v e n space t h a t space x plus y equals 24000... left parenthesis 1 right parenthesis P r o f i t space o n space s c o o t e r space i s space 27 % T h u s comma space S. P space o f space s c o o t e r equals x plus 27 over 100 x equals x open parentheses 1 plus 27 over 100 close parentheses equals fraction numerator 127 x over denominator 100 end fraction P r o f i t space o n space T V equals 15 % A n d comma space t h u s comma space S. P space o f space T V equals y plus 15 over 100 y equals y open parentheses 1 plus 15 over 100 close parentheses equals fraction numerator 115 y over denominator 100 end fraction A l s o space g i v e n space t h a t space h e space m a d e space 20 % space p r o f i t space o n space t h e space w h o l e space t r a n s a c t i o n. T o t a l space p r o f i t equals 20 over 100 cross times 24000 T h u s comma space fraction numerator 127 x over denominator 100 end fraction plus fraction numerator 115 y over denominator 100 end fraction equals 24000 open parentheses 1 plus 20 over 100 close parentheses rightwards double arrow fraction numerator 127 x over denominator 100 end fraction plus fraction numerator 115 y over denominator 100 end fraction equals 24000 cross times 120 over 100 rightwards double arrow 127 x plus 115 y equals 24000 cross times 120... left parenthesis 2 right parenthesis C o n s i d e r space t h e space e q u a t i o n s space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space space x plus y equals 24000 127 x plus 115 y equals 24000 cross times 120 M u l t i p l y i n g space e q u a t i o n space left parenthesis 1 right parenthesis space b y space 115 space a n d space s u b t r a c t i n g space f r o m space left parenthesis 2 right parenthesis comma space w e space h a v e 127 x minus 115 x equals 24000 cross times 120 minus 24000 cross times 115 rightwards double arrow 12 x equals 24000 cross times open parentheses 120 minus 115 close parentheses rightwards double arrow 12 x equals 24000 cross times 5 rightwards double arrow x equals 10000 S u b s t i t u t i n g space t h e space v a l u e space o f space x space i n space e q u a t i o n space left parenthesis 1 right parenthesis comma space w e space h a v e comma space x plus y equals 24000 rightwards double arrow 10000 plus y equals 24000 rightwards double arrow y equals 24000 minus 10000 rightwards double arrow y equals 14000 T h u s comma space C. P space o f space s c o o t e r space R s.10 comma 000 space a n d space C. P space o f space T V space i s space space R s.14 comma 000
Answered by Expert 11th January 2015, 6:04 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

RELATED STUDY RESOURCES :
MAHARASHTRA OLD Class-9 QUESTION ANSWERS

Chat with us on WhatsApp