A shopkeeper sells an article at 15% gain. Had he sold it for Rs. 18 more, he…
2022
A shopkeeper sells an article at 15% gain. Had he sold it for Rs. 18 more, he would have gained 18%. The cost price (in Rs.) of the article is:
- A.
360
- B.
540
- C.
600
- D.
640
Attempted by 23 students.
Show answer & explanation
Correct answer: C
Let the cost price of the article be Rs. x.
Selling price at 15% gain = 1.15x
Selling price at 18% gain = 1.18x
Difference in selling prices = 1.18x - 1.15x = 0.03x
Given that this difference is Rs. 18:
0.03x = 18
Solving for x:
x = 18 / 0.03 = 600
Therefore, the cost price of the article is Rs. 600.
हिन्दी उत्तर:
माना वस्तु का क्रय मूल्य x रुपये है।
15% लाभ पर विक्रय मूल्य = 1.15x
18% लाभ पर विक्रय मूल्य = 1.18x
विक्रय मूल्यों का अंतर = 1.18x - 1.15x = 0.03x
दिया गया है कि यह अंतर 18 रुपये है:
0.03x = 18
x का मान निकालने पर:
x = 18 / 0.03 = 600
इसलिए, वस्तु का क्रय मूल्य 600 रुपये है।