Question

2. Rajan purchased a purse at 25% discount on its marked price but sold it at the marked price. Find the gain per cent of Rajan on this transaction.​

Answer 1

Answer:

The gain percent of Rajan on this transaction is 33.33%

Step 1:

Let Market price be x

Rajan bought at a discount of 25% = at 75% of x

= 75/100 × x

= 3/4x

Step 2:

Selling price = Market price = x

Profit = Selling price - Cost Price

= x - 3/4x

= 1/4x

Step 3:

Profit % = Profit/Cost Price × 100

=1/4x ÷ 3/4x × 100

=1/4x × 4/3x × 100

=1/3 × 100

Profit % = 33.33%

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Answer 2

Answer:

Let Market price be x.

Rajan bought at a discount of 25% = at 75% of x

= 75/100 × x.

= 3/4x.

Selling price = Market price = x.

Profit = Selling price - Cost Price.

= x - 3/4x.

= 1/4x.

Profit % = Profit/Cost Price × 100.

=1/4x ÷ 3/4x × 100.

=1/4x × 4/3x × 100.

=1/3 × 100.

Profit % = 33.33%.