A person purchases 40 items at 10 Rs. each. He sells a part of them at 25% profit and the remaining at 10% loss. The net profit is 4% in this transaction. The no. of items he sold at profit is?
Answer & explanation
Correct answer: option 1
At 4% profit
SP = 400 × \(\frac{104}{100}\)% = 416
Let us suppose x items were sold at 25% profit
(40 -x) sold at 10% loss
{x × \(\frac{5}{4}\) x 10} + {(40 - x) × \(\frac{9}{10}\) x 10} = 416
\(\frac{5}{4}\)x + 36 - \(\frac{9}{10}\) x = 41.6
7x = 112
x = 16