Lumaktaw sa nilalaman
Back to the problem bank

Term 1 · Weeks 1–2 · Earning Money and Percentages

Challenge problem · non-routine

Challenge Non-routine

A store sells a bag for ₱840 after giving a 20% discount on the tag price, and still earns a 20% profit on its cost. What was the store's cost for the bag?

Show step-by-step solution

Answer: 700 ₱

  1. Work backwards from the selling price. The 20% profit is on the cost, so selling price =1.2×cost= 1.2 \times \text{cost}.
  2. cost=840÷1.2=700\text{cost} = 840 \div 1.2 = 700.
  3. (The tag price was 840÷0.8=1050840 \div 0.8 = 1050, but it is not needed to find the cost.) The cost was ₱700.

Common errors to watch for

  • Taking 20% of ₱840 as the profit gives ₱672; profit percentage is based on cost, not selling price.

Budget of Work competencies

  • gm11.t1.w1.c2
    Apply a percentage increase or decrease in various contexts:

Ginawa para sa mga guro at mag-aaral sa Pilipinas. Sumusunod ang nilalaman sa DepEd Budget of Work.

Tungkol © 2026 SSHS Math Talas Hub