Question

Christina purchased some articles for $2400. She sold two-third of the articles purchased at 10% loss. Find the profit percentage at which the rest of must be sold to gain an overall profit of 25%.​

Answer 1

Given :- Christina purchased some articles for $2400. She sold two-third of the articles purchased at 10% loss.

To Find :- Find the profit percentage at which the rest of must be sold to gain an overall profit of 25%. ?

Answer :-

→ The cost price of the articles = $2400

→ overall Profit = 25%

so,

→ Total Selling Price = (2400 * 125)/100 = $3000

now,

→ (2/3)rd of the CP = (2/3) * 2400 = $1600

→ Loss = 10%

→ SP of (2/3) of articles = (1600 * 90)/100 = $1440 .

Then,

→ SP on remaining (1/3) articles = 3000 - 1440 = $1560

→ CP on remaining articles = (1/3) * 2400 = $800

therefore,

→ Profit = SP - CP = 1560 - 800 = $760

hence,

→ Profit % = (760 * 100) / 800 = 95% (Ans.)

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