Question

Using the figures given below, frame problems based on profit percent or loss percent.​

​Cost price ₹ 8600, transport charges ₹ 250, porterage ₹ 150, selling price ₹ 10000

Answer 1

Problem: Vinay bought a machine from a factory for Rs 8600. He spent Rs 250 on transport and Rs 150 on porterage. If he sold it to a customer for Rs 10000, what was his profit percent or loss percent?

Cost price of machine = ₹ 8600

Money spent on transport = ₹ 250

Money spent on porterage = ₹ 150

Total expenses = cost of machine + transport charges + porterage charges

= 8600 + 250 + 150

= ₹ 9000

That is, total cost price = ₹ 9000

Selling price of the machine = ₹ 10000

Since selling price is more than total cost price, so there is a profit.

Profit = Selling price − total cost price

= 10000 − 9000

= ₹ 1000

Let x % be the Vinay's profit in this transaction. Then,

${\displaystyle \frac{\text{x}}{100}=\frac{\text{Profit}}{\text{total cost price}}=\frac{1000}{9000}}$

${\displaystyle \Rightarrow \frac{\text{x}}{100}\times 100=\frac{1000}{9000}\times 100}$

${\displaystyle \Rightarrow \text{x}=\frac{100}{9}=11\frac{1}{9}}$

∴ Vinay made a profit of ${\displaystyle 11\frac{1}{9}\%}$ in this transaction.