Multiple choice

The cost price of item B is Rs.660/- more than the cost price of item A. Item B was sold at a profit of 20% and item A was sold at a loss of 30%. If the respective ratio of selling prices of items A and B is 35: 93, what is the cost price of item B? वस्तु B का क्रय मूल्य वस्तु A के क्रय मूल्य से 660/- रुपये अधिक है। वस्तु B को 20% के लाभ पर बेचा गया और वस्तु A को 30% की हानि पर बेचा गया। यदि वस्तु A और B के विक्रय मूल्य का संबंधित अनुपात 35:93 है, तो वस्तु B का लागत मूल्य क्या है?

  1. Rs.1860

  2. Rs.1520

  3. Rs.1430

  4. Rs.1200

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let cost price of A be x, then cost price of B is x + 660. Selling price of A after 30% loss is 0.7x. Selling price of B after 20% profit is 1.2(x + 660) = 1.2x + 792. Given ratio of selling prices is 35:93, so 0.7x / (1.2x + 792) = 35/93. Solving: 65.1x = 42x + 27720, giving x = 1200. Therefore cost price of B = 1200 + 660 = 1860. Option A is correct.

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