Question

a trader has 500 kg of rice, part of which he sells at 8% profit and the rest at 18% profit. he gains 10% on the whole. the quantity sold at 18% profit is

Answer 1

Answer:

$\huge{\fbox{\fbox{\orange{\mathfrak{Answer\::}}}}}$ 100 kg

➡️ Amount of rice = 500kg

➡️Selling profit=8% & rest = 18%

➡️500×1/5=100

• If he gains 10% then

➡️[10-8]

➡️[10-18]

• So, [10-8]/[10-18]=2:8

➡️2:8=1:4=1/4

➡️100

Answer 2

Given,

Total rice = 500 kg

Profit 1 = 8%

Profit 2 = 18%

Total profit = 10%

To Find,

The quantity sold at 18% profit =?
Solution,

Let the quantity sold at 18% profit be x

According to the question we have,

18% * x + 8%*(500 - x) = 10% * 500

18x + 8(500 - x) = 10 * 500

18x  + 4000 - 8x = 5000

10x = 5000 - 4000

10x = 1000

x = 1000 / 10

x = 100 kg

Hence, 100kg of rice was sold at 18% profit.