Math, asked by swethapriyaparapathi, 14 days ago

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

Answers

Answered by BrainlyTwinklingstar
2

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.

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