SSC Selection Post 2020 PYQ — Question 62

SSC Selection Post - Matriculation Level 2020 - 10 Nov 2020 - Shift 1 • Quantitative Aptitude • Q62

Anu gains 18% on selling an article for ₹265.50. If she sells it for ₹231.30, then her gain or loss percentage is:
 

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Correct answer: D

Explanation

The correct answer is option 4 i.e. Gain : 2.8%.

Selling Price 1 (SP₁) = ₹265.50

Gain % on SP₁ = 18%

SP = CP × ( 1 + Gain % / 100)

265.50=CP×(1+18100)=CP×1.18265.50 = \text{CP} \times \left(1 + \frac{18}{100} \right) = \text{CP} \times 1.18

CP  = 265.501.18=225\frac{265.50}{1.18} = 225

Selling Price 2 (SP₂) = ₹231.30

The gain/loss % on this selling price compared to CP = ₹225

Profit or Loss = SP  -  CP = 231.30 - 225 = 6.30 ⇒ Gain

Gain % =6.30225×100=2.8% \frac{6.30}{225} \times 100 = 2.8\%