Profit and Loss [लाभ और हानि]–10

Question: A person bought two watches for Rs.480. He sold one at loss of 15% and the other at a gain of 19% and he found that each watch was sold at the same price. Find the cost price of the watch sold at a loss of 15%. [एक व्यक्ति ने 480 रु में दो घड़ियाँ खरीदीं. एक को उसने 15% हानि पर बेचा और दूसरे को 19% लाभ पर बेचा. उसने पाया कि प्रत्येक घडी समान मूल्य पर बेचीं गयी. बताइए कि उस घडी का क्रयमूल्य क्या है, जिसे 15% लाभ पर बेचा गया?]  [Ans. (c) Rs. 280]

(a) Rs.250 (b) Rs.160 (c) Rs. 280 (d) Rs.300 (e) None of these

Solution:

Detailed Explanation: Let the cost prices (CP) of two watches sold, one at a loss of 15% and the other at a gain of 19% are respectively “x” and “y”. The selling prices of the two watches are respectively 85% of x and 119% of y. Given that they are equal.

So, 85% of x = 119% of y

Or, x:y = 119:85 = 7:5

So, x: y = 7: 5

Sum (x+y) = 12 ≡ Rs. 480 (given)                                                                                       

Cost price of the watch sold at a loss of 15% = x = 7 ≡? = Rs. 280 Ans.