This question was previously asked in

SSC CGL Tier 2 Quant Previous Paper 5 (Held On: 12 September 2019)

Option 3 : Rs. 137.5

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Let the CP of the article be Rs. x

If article sold at 16% below its cost price, then SP of the article = x × (84/100) = 0.84x

If article sold at 14% above its cost price, then SP of the article = x × (114/100) = 1.14x

According to the question

⇒ 1.14x – 0.84x = 33

⇒ 0.3x = 33

⇒ x = 33/0.3

⇒ x = 110

To gain 25% on CP, then SP of the article = 110 × (125/100) = 137.5

Short Trick∶

Let CP of the article be 100%, it should be sold at 125% to gain 25%

⇒ 16% + 14% = 33

⇒ 30% = 33

⇒ 125% = (33/30) × 125 = 137.5

**Alternate solution:**

Let CP = 100x

According to question,

⇒ 1.14x – 0.84x = 33

⇒ 0.3x = 33

⇒ x = 33/0.3

⇒ x = 1.1

∴ CP = 100x = 100 × 1.1 = 110

Now,

125/100 × 110 = 137.5 Rs.