A merchant has 500 kg of sugar, part of which he sells at 8% profit and the rest he sells at 18% profit. He gains 14% on the whole. The quantity of sugar sold at 8% is :

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Haryana CET Previous Year Paper (Held On: 6 Nov 2022 Shift 2)
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  1. 200 kg
  2. 180 kg
  3. 300 kg
  4. 220 kg
  5. Not attempted

Answer (Detailed Solution Below)

Option 1 : 200 kg
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Haryana CET Full Test 1
100 Qs. 100 Marks 105 Mins

Detailed Solution

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Given :

Total amount of Sugar = 500 Kg

Total profit = 18 %

Solution :

Let assume that the merchant sold X kg sugar at profit of 8%.

Profit on selling X kg sugar at 8% profit :

⇒ ( X × 8 ) / 100

Profit on selling rest amount of sugar at 18% profit :

⇒ [ ( 500 - X ) × 18 ] ÷ 100

Profit on selling the total amount of sugar :

⇒ ( 500 × 14 ) / 100

Now Equating all the profits to total profit :

⇒ (X × 8) / 100 + [ (500 - X) × 18 ] / 100 =  (500 × 14) / 100

⇒ 8X + 9000 - 18X = 7000

⇒ 10X = 2000

⇒ X = 200 Kg

Hence the correct answer is "200 Kg".

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->HSSC CET Exam Date 2025 is 26th and 27th July 2025.

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