arrow
arrow
arrow
An article is sold at 20% profit. If its cost price is increased by Rs. 50 and at the same time if its selling price is also increased by Rs. 30, the
Question

An article is sold at 20% profit. If its cost price is increased by Rs. 50 and at the same time if its selling price is also increased by Rs. 30, the percentage of profit decreases by 3133\frac 13​%, then the cost price is-

A.

Rs. 851

B.

Rs. 852

C.

Rs. 850

D.

Rs. 853

Correct option is C

Given:
Profit = 20%,
CP increases by ₹50,
SP increases by ₹30,
Solution:
Let cost price be  x 
Original SP  = 1.2x 
New CP  = x + 50 
New SP  = 1.2x + 30 
New profit %  =20%−103%=503%= 20\% - \frac{10}{3}\% = \frac{50}{3}\% \\​​
​(1.2x+30)−(x+50)x+50×100=503 0.2x−20x+50×100=503 300(0.2x−20)x+50=50 60x−6000x+50=5060x−6000=50(x+50)60x−6000=50x+250010x=8500x=850\frac{(1.2x + 30) - (x + 50)}{x + 50} \times 100 = \frac{50}{3} \\ \ \\\frac{0.2x - 20}{x + 50} \times 100 = \frac{50}{3} \\ \ \\\frac{300(0.2x - 20)}{x + 50} = 50 \\ \ \\\frac{60x - 6000}{x + 50} = 50 \\ 60x - 6000 = 50(x + 50) \\60x - 6000 = 50x + 2500 \\10x = 8500 \\x = 850 \\​​
Correct answer is (c) 850.

Free Tests

Free
Must Attempt

UPTET : Paper 1 Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET : Paper 2 Maths & Science Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET : Paper 2 Social Science Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘UPTET’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
564k+ students have already unlocked exclusive benefits with Test Prime!

Similar Questions

Our Plans
Monthsup-arrow