Question

Ramu sold a motorcycle for 70000 rupees with 25% profit. For what price he should sell a motorcycle to gain 30% profit

Answer 1

Given :

Selling price of a motorcycle : ₹70000

Profit percentage : 25%

To find :

The selling price if sold at 30% of profit.

Solution :

Furst, we should find the cost price of the motorcycle.

Cost price of the motorcycle :

${\sf \dashrightarrow \dfrac{100}{+100 + Profit \%)} \times SP}$

${\sf \dashrightarrow \dfrac{100}{100 + 25)} \times 70000}$

${\sf \dashrightarrow \dfrac{100}{125} \times 70000}$

${\sf \dashrightarrow \dfrac{4}{5} \times 70000}$

${\sf \dashrightarrow \dfrac{4 \times 70000}{5} = \dfrac{280000}{5}}$

${\sf \dashrightarrow \dfrac{280000}{5} = 56000}$

Now, we can find the new selling price.

Selling price if sold at 30% profit :

${\sf \dashrightarrow \dfrac{(100 + Profit\%)}{100} \times CP}$

${\sf \dashrightarrow \dfrac{100 + 30}{100} \times 56000}$

${\sf \dashrightarrow \dfrac{130}{100} \times 56000}$

${\sf \dashrightarrow \dfrac{13}{10} \times 56000}$

${\sf \dashrightarrow \dfrac{13 \times 56000}{10} = \dfrac{728000}{10}}$

${\sf \dashrightarrow \dfrac{728000}{10} = 72800}$

Hence, the selling price of the motorcycle if sold at 30% is ₹72800.