Multiple choice

A shop owner buys two articles for a cost of Rs. 900. By selling one for 4/5 of its cost and other for 5/4 of its cost, he makes a profit of Rs. 90 on the whole transaction. Find the cost price of lower priced article. एक दुकानदार दो वस्तु ₹ 900 में खरीदता हैं। एक वस्तु को उसके मूल्य के 4/5 पर बेचने पर तथा दूसरी वस्तु को क्रय मूल्य के 5/4 भाग पर बेचने से उसे पूरे सौदे में कुल लाभ ₹ 90 का होता हैं। कम मूल्य वाली वस्तु का क्रय मूल्य ज्ञात कीजिये।

  1. Rs. 250 ₹ 250

  2. Rs. 275 ₹ 275

  3. Rs. 300 ₹ 300

  4. Rs. 375 ₹ 375

  5. Cannot be determined निर्धारित नहीं किया जा सकता है

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

Let the cost prices be x and y, with x + y = 900. One is sold at 4/5 of cost (20% loss) and the other at 5/4 of cost (25% profit). Total profit = Rs 90. Equation: -0.2x + 0.25y = 90. Multiply by 20: -4x + 5y = 1800. Substituting y = 900 - x: -4x + 5(900 - x) = 1800, giving -4x + 4500 - 5x = 1800, so -9x = -2700, x = 300. The lower-priced article costs Rs 300.