Question

In an industrial area there is a factory which makes pens and pencils. The employees of this factory are very hardworking. Every year the factory earns a huge profit. This factory earns a profit of ₹8 on each pack of pencils sold, while suffers a loss of ₹5 on each pack of pens sold.

(a) The factory sells 3,000 packs of pencils and 5,000 packs of pens in a month. What is its profit or loss?

(b) What is the number of packs of pencils it must sell to have neither profit nor loss if 6,400 packs of pens are sold?

(c) What value do the employees of this factory depict?

Answer 1

The factory incurs a loss of ₹1,000 when selling 3,000 packs of pencils and 5,000 packs of pens. To break even when selling 6,400 packs of pens, it must sell 4,000 packs of pencils. The employees demonstrate hard work.

Step-by-step explanation:

The question involves calculating profit or loss for a pen and pencil factory using simple arithmetic operations and an understanding of profit/loss concepts.

(a) To calculate the factory's monthly profit or loss, we multiply the number of packs sold by the profit or loss per pack for both pencils and pens:

• Profit for pencils = 3000 packs × ₹8 per pack = ₹24,000
• Loss for pens = 5000 packs × (₹5 per pack) = ₹25,000 loss

Total profit/loss = Profit from pencils - Loss from pens = ₹24,000 - ₹25,000 = ₹-1,000. The factory incurs a loss of ₹1,000.

(b) To find out the number of pencil packs that must be sold to have neither profit nor loss when 6,400 packs of pens are sold, we set up an equation where the total profit from pencils equals the total loss from pens:

8 × number of pencil packs = 5 × 6400

number of pencil packs = (5 × 6400) / 8 = 4,000 packs

The factory must sell 4,000 packs of pencils to break even.

(c) The value depicted by the employees of this factory is hardworking. Their diligent work contributes to the profitability and functioning of the factory.