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 (in kg.) sold at 18% profit is:

Answer 1

Answer:

600kg

Step-by-step explanation:

1000 x 14%profit = 140

8% x a + 18% x b = 140

a+b=1000

a=1000-b

8% x (1000-b) + 18% x b =140

80-0.08b +0.18b =140

0.1b=60

b=600

Answer 2

Step-by-step explanation:

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.