Question

Cyrus sold his bike at a loss of 4.5%. Had he sold it for Rs.2970 more he would have gained 6.5%. At what price should he sell it to gain 11%?
O 27000
29700
O 29770
0 29970
O 27970​

Answer 1

Answer:

He should sell the bike at 29970 rupees to gain 11%.

Step-by-step explanation:

Given, Cyrus sold his bike at a loss of 4.5%.

Let cost price of the bike be x rupees.

Therefore selling price = 4.5% loss of x

$= \frac{100 - 4.5}{100} \times x \\ = \frac{95.5}{100} \times x \\ = 0.955x \: rupees$

Now it is also given that if he sold bike Rs.2970 more he would have gained 6.5%.

So now selling price $= (0.955x + 2970) \: rupees$

According to question,

(100+6.5)% = 106.5% means (0.955x+2970) rupees.

By Unitary method 100% means $\frac{0.955x + 2970}{106.5} \times 100 \: rupees$

We know 100% means cost price x rupees.

So,

$\frac{0.955x + 2970}{106.5} \times 100 = x \\ 95.5x + 297000 = 106.5x \\ 297000 = 106.5x - 95.5x \\ 11x = 297000 \\ x = \frac{297000}{11} \\ x = 27000$

Therefore cost price is 27000 rupees.

Now 100% means 27000 rupees

So, by Unitary method 11% gain=(100+11)=111% means

$\frac{27000}{100} \times 111 \\ = 270 \times 111 \\ = 29970 \: rupees$

Know more about Profit and loss-

https://brainly.in/question/35643631

https://brainly.in/question/39885469