Multiple choice

An article was sold at a profit of 12%. If the cost price would be 10% less, selling price would be 6.75 more, there would be a profit of 30%. Then what is the cost price of the article? /एक वस्तु 12 प्रतिशत के लाभ पर बेची जाती है। यदि क्रय मूल्य 10 प्रतिशत कम हो और विक्रय मूल्य रू. 6.75 अधिक हो, तो 30 प्रतिशत का लाभ होगा। तो वस्तु का क्रय मूल्य क्या है?

  1. Rs. 115

  2. Rs. 135

  3. Rs. 125

  4. Rs.145

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = x. Original: SP = 1.12x. New CP = 0.90x, New SP = 1.12x + 6.75, Profit = 30%. So (1.12x + 6.75)/(0.90x) = 1.30. 1.12x + 6.75 = 1.17x. 6.75 = 0.05x. x = 6.75/0.05 = 135. Therefore CP = Rs. 135. This is verified by checking: Original SP = 135 × 1.12 = 151.20. New CP = 121.50, New SP = 151.20 + 6.75 = 157.95. Profit = (157.95 - 121.50)/121.50 = 36.45/121.50 = 0.30 = 30%. ✓