Question

A shopkeeper bought 150kg sugar. He sold 1/2 of the total quantity at $1.5/kg. The 1/5 of the remaining was sold at $1.6/kg. The balance was sold at 1.8$/kg of his buying price ex was 160$. Find the percent profit

Answer 1

The percentage profit is approximately 76.875%.

Let's break down the problem step by step:

Initial quantity bought: 150 kg

First sale: Sold 1/2 of 150 kg = 75 kg at $1.5/kg

Remaining quantity: 150 kg - 75 kg = 75 kg

Sale of 1/5 of remaining quantity: 1/5 * 75 kg = 15 kg at $1.6/kg

Balance remaining: 75 kg - 15 kg = 60 kg

Let's calculate the total earnings from these sales:

For the first 75 kg: $1.5/kg * 75 kg = $112.5

For the next 15 kg: $1.6/kg * 15 kg = $24

For the remaining 60 kg: Selling price = 1.8 * buying price = 1.8 * 160 = $288

Now, let's calculate the total earnings: $112.5 + $24 + $288 = $424.5

The total cost price was $160 * 150 kg = $240

Profit = Total earnings - Total cost price = $424.5 - $240 = $184.5

To find the percentage profit, use the formula:

Percentage profit=
`(Profit)/(Cost price)`×100

Percentage profit= ×100

Percentage profit=
`(184.5)/(240)` ×100≈76.875%

Therefore, the percentage profit is approximately 76.875%.