A merchant has 1000 kg of sugar, part of which he sells at 8% and the remaining at 18% profit. He gains 14% on the whole. Find the quantity of sugar that he sold at 18% Profit.

A 400 kg

B 600 kg

C 560 kg

D 640 kg

Correct Answer: Option B

ধরি, x কেজিতে 8% লাভ করে

∴(1000-x) কেজিতে 18% লাভ করে

প্রশ্নমতে,

8/100× x+ ( 1000 - x) × 8/100 = 1000 × 14/100

⇒8x + 18(1000-x) = 1000×14

⇒8x + 18,000-18x = 14000

⇒ - 10x = 14000-18000

⇒ 10x = 4000

.. x = 400

.: 18% লাভে বিক্রি করে = (1000-400)

600 কেজি