Multiple choice

A shopkeeper sold his goods at 20% profit. If he had bought it at 10% more and sold it for Rs. 14 more, he would have gained 25%. Find the cost price of goods. एक दुकानदार ने अपना माल 20% लाभ पर बेच दिया। यदि उसने इसे 10% अधिक पर खरीदा होता और 14 रू. अधिक में बेचा होता, तो उसे 25% का फायदा हुआ होता। वस्तु का लागत मूल्य ज्ञात कीजिये।

  1. Rs. 40

  2. Rs. 60

  3. Rs. 80

  4. Rs. 90

  5. Rs. 100

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

Let CP = x. Original SP = x + 0.2x = 1.2x. New CP = x + 0.1x = 1.1x. New SP = 1.2x + 14. New profit = 25%, so New SP = 1.25 × New CP = 1.25 × 1.1x = 1.375x. Therefore: 1.2x + 14 = 1.375x, which gives 0.175x = 14, so x = 80. Verification: Original scenario: CP = 80, SP = 96 (20% profit). New scenario: CP = 88, SP = 110 (25% profit on 88 is exactly 22, and 96 + 14 = 110). This confirms CP = Rs. 80.