Question

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is​

Answer 1

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

Let the sugar sold at 8% gain = x

Therefore, Sugar sold at 18% gain = (1000 - x)

Let CP of sugar = Rs.y per kg

Total CP = Rs.100y

Therefore, (108100×xy)+118100(1000−x)y = 114100×1000y

108xy+118000y−118xy=114000y

10x=4000

x=400

Quantity sold at 18% profit

= 1000 - 400 = 600 kg

Answer 2

Answer:

• 1st Part of Sugar = 8% Profit
• 2nd Part of Sugar = 18% Profit
• Whole Profit on Sugar = 14%

• According to the Question :

⠀1st Part⠀⠀⠀⠀⠀⠀ 2nd Part

⠀⠀8%⠀⠀⠀⠀⠀ ⠀⠀⠀⠀18%

⠀⠀⠀⠀⠀⠀⠀Mean

⠀⠀⠀⠀⠀⠀⠀⠀14%

⠀(18% - 14%)⠀⠀⠀⠀⠀ ⠀(14% - 8%)

⠀⠀⠀4⠀⠀⠀⠀⠀ :⠀⠀⠀⠀⠀ ⠀6

⠀⠀⠀2⠀⠀⠀⠀⠀ :⠀⠀⠀⠀⠀ ⠀3

• Quantity sold at 18% Profit :

⇒ Quantity on 18% = 1000 × 3/(2 + 3)

⇒ Quantity on 18% = 1000 × 3/5

⇒ Quantity on 18% = 200 × 3

⇒ Quantity on 18% = 600 kg

∴ Quantity sold on 18% profit is 600 kg.