An article was sold at a gain of 16 If it had been sold for 36 more the gain would have been 20 The ...........

Quantitative Aptitude (CGL) Profit and loss

An article was sold at a gain of 16%. If it had been sold for 36 more, the gain would have been 20%. The cost price of the article

This questions was previously asked in

SSC CGL 6th March 2020 Shift-3

Rs862

Rs900

Rs810

Rs720

- Let's establish the context: An article is sold at a 16% gain. If sold for ?36 more, the gain would be 20%.

- To find the cost price (CP), let's use algebra.

- Define CP as "X".

- With a 16% gain: Selling price (SP) = X + 0.16X = 1.16X.

- With a 20% gain and ?36 more: SP = 1.20X.

- Equation: 1.20X = 1.16X + 36.

- Simplify the equation: 0.04X = 36.

- Solve for X: X = 36 / 0.04 = 900.

- So, the cost price of the article is Rs900.

- Option 1: Rs862 – Incorrect, does not satisfy the equation.

- Option 2: Rs900 – Correct, satisfies all conditions.

- Option 3: Rs810 – Incorrect, calculation mismatch.

- Option 4: Rs720 – Incorrect, too low, equation mismatch.

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