Question

Loss incurred by selling an article for Rs 800 is

23% more than profit gained by selling same

article for Rs 1246 Find the cost price of this

article?​

Answer 1

Step-by-step explanation:

Loss unsecured by selling an article = ₹800

Profit gained =23%

sold it for ₹1246

CP =?

NOW,

x−800=1246−x+23100(1246−x)x−800=1246−x+23100(1246−x)

2x=2046+23100(1246−x)2x=2046+23100(1246−x)

200x=204600+28658−23x200x=204600+28658−23x

223x=233258223x=233258

x=1046x=1046

Answer 2

Question :-

Loss incurred by selling an article for Rs 800 is

23% more than profit gained by selling same article for Rs 1246 Find the cost price of this article?

Solution :-

Let x be the cost price of the article.

The loss incurred by selling it for Rs 800 is x - 800, and that loss is 23% more than the profit gained by selling it for Rs 1246, where the profit is 1246 - x; hence, we can write the following equation to solve for x, thereby finding the cost price of the article:

$\small\sf:\longmapsto{x - 800 = 1246 - x + \frac{23}{100} (1246 - x) } \\ \\ \small\sf:\longmapsto{ x + x = 1246 + 800 + \frac{23}{100} (1246 - x)} \\ \\ \small\sf:\longmapsto{2x = 2046 + \frac{23}{100}(1246 - x) } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Multiple both sides by 100

$\small\sf:\longmapsto{ 200x = 204600 + \frac{23 \times \cancel{100}}{ \cancel{100}}(1246 - x) } \\ \\ \small\sf:\longmapsto{ 200x = 204600 + 23(1246 - x) \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \small\sf:\longmapsto{ 200x = 204600 + 28658 - 23x \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \small\sf:\longmapsto{200x + 23x = 233258 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small\sf:\longmapsto{223x = 233258 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small\sf:\longmapsto{ x = \cancel{ \frac{233258}{223} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small\bf:\longmapsto \red{x = 1046 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

The cost price of that article is 1046₹.

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