When an article is sold for Rs. 703 loss incurred is 25% less than the profit
Posted on 29-03-2023
Ques - When an article is sold for Rs. 703 loss incurred is 25% less than the profit earned on selling it at Rs. 836. What is the selling price of the article when it earns a profit of 20%?
(a) 912
(b) 1576
(c) 1532
(d) 1092
Solution -
let,
CP = x
Loss at selling Rs. 703 = CP - SP
= x - 703
Profit at selling Rs. 836 = SP - CP
= 836 - x
When an article is sold for Rs. 703 loss incurred is 25% less than the profit earned on selling it at Rs. 836.
The loss by selling at Rs. 703 = 25% less than profit by selling at Rs.863.
x - 703 = (836 - x) - (836 - x) × (25/100)
x - 703 = (836 - x) - [(836 - x) / 4]
4(x - 703) = 4(836 - x) - (836 - x)
4x - 2812 = 3344 - 4x - 836 + x
4x - 2812 = 2508 - 3x
4x + 3x = 2508 + 2812
7x = 5320
x = 5320/7
x = 760
So,
CP = 760
It earns a profit of 20%.
SP = 760 × (120/100)
SP = 912
Therefore,
The selling price of the article when it earns a profit of 20% is 912.
Hence,
The correct answer is option (a) 912 .
Thank You