A trader bought twoarticles for Rs490 Hesold one at a loss of 20 and the other at a profit of 16 If ...........

Quantitative Aptitude (CGL) Profit and loss

A trader bought twoarticles for Rs490. Hesold one at a loss of 20% and the other at a profit of 16%.If the selling price of both

articles is same, then the cost price (in Rs) of the article sold at 20% loss is:

This questions was previously asked in

SSC CGL 16th August 2021 Shift-3

310

300

290

280

Let the cost price of the first article (sold at 20% loss) be Rs x.

So, the cost price of the second article (sold at 16% profit) is Rs (490 – x).

- Selling price of the first article = 80% of x = 0.8x

- Selling price of the second article = 116% of (490 – x) = 1.16×(490 – x)

- Since both selling prices are the same:

0.8x = 1.16(490 – x)

- Solve for x:

0.8x = 568.4 – 1.16x

0.8x + 1.16x = 568.4

1.96x = 568.4

x = 568.4 / 1.96 = 290

The correct answer is Option 3: 290

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