UPSC CAPF (AC) 2024 Paper I · Question 62

Question 62 of the UPSC CAPF (AC) 2024 Paper I (4 August 2024). Try it first, then open the answer and explanation.

1. CAPF 2024 · P-I · Q62 · General Mental Ability · Arithmetic

   A shopkeeper sells two items, A and B. Item B's cost price is twice as that of item A. The shopkeeper sells item A at 10% profit and item B at 20% profit. Which one of the following is the value of net profit?

   1. 15%
   2. 13.33%
   3. 18%
   4. 16.66%

   एक दुकानदार दो वस्तुएं A और B बेचता है। वस्तु B का क्रय मूल्य, वस्तु A के क्रय मूल्य का दोगुना है। दुकानदार वस्तु A को 10% के लाभ पर बेचता है और वस्तु B को 20% लाभ पर बेचता है। निम्नलिखित में से शुद्ध (नेट) लाभ का मान क्या है?

   1. 15%
   2. 13.33%
   3. 18%
   4. 16.66%
   Show answer

   Answer: (4) 16.66%

   उत्तर: (4) 16.66%

   Take the cost price of A as ₹100, so B costs ₹200 and the total cost is ₹300. Profit = 10% of 100 + 20% of 200 = 10 + 40 = ₹50, so the net profit = 50/300 × 100 = 16.66% (not the simple average of 15%, because B carries twice the weight).

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