Math, asked by pro2712, 5 months ago

pleasegive me all with method​

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Answered by TwilightShine
8

Question -:

1) Ramila bought a bicycle for Rs 2000 and sold it for Rs 2500. Find the gain percentage.

2) Jaimin takes Rs 10000 at 12% per year as rate of interest, for two years. How much interest he has to pay at the end of 2 years?

Answer -:

  1. Gain percentage = 25%.
  2. Interest = Rs 2400.

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Question 1 -:

Given -:

  • Cost Price of the bicycle = Rs 2000.
  • Selling price of the bicycle = Rs 2500.

To find -:

  • The gain percentage.

Step-by-step explanation -:

We know that,

Profit = Selling Price - Cost Price.

So, applying this formula, we get -:

Profit = Rs 2500 - Rs 2000 = Rs 500.

Profit and Loss percent is always calculated on the Cost Price.

Cost Price = Rs 2000.

We have this formula to find the Profit percentage -:

\sf \dfrac{Profit}{C.P} \times 100

Applying this formula, we get -:

\sf \dfrac{Rs\: 500}{Rs \:2000} \times 100

Reduce these numbers. First we will cut off all the zeroes.

We are left with -:

\sf \dfrac{Rs\:5}{Rs\:2} \times 10

Now, 2 and 10 are both divisible by 2, so lets reduce them. We get -:

\sf \dfrac{Rs\:5}{Rs\:1} \times 5

Now, we will multiply the remaining numbers.

Since we are only left with Rs 5 and 5, therefore lets multiply them. Multiplying 5 × 5, we get 25.

Lets add the percent sign here and make it 25%.

Thus, Ramila gained a profit of 25%.

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Question 2 -:

Given -:

  • Principal = Rs 10000.
  • Rate of Interest = 12% per year.
  • Time = 2 years.

To find -:

  • The interest he has to pay at the end of 2 years.

Step-by-step explanation -:

We have to find the Simple Interest he has to pay after 2 years.

We already know the Principal, Rate and Time.

We have this formula to find Simple Interest -:

\sf Simple\:Interest = \dfrac{P\:\times\:R\:\times\:T}{100}

For our convenience, lets ignore all the units and signs now. We can add the Rs sign in our answer later.

Applying this formula, we get -:

\sf Simple\:Interest = \dfrac{10000\: \times\:12\:\times\:2}{100}

Now, we will first cut off the zeroes. We are left with -:

\sf Simple\:Interest = \dfrac{100\:\times\:12\:\times\:2}{1}

Now, since we have the denominator 1, therefore we can also write it like this -:

\sf Simple \:Interest = 100\:\times\:12\:\times\:2

Multiplying them, we get Rs 2400 (Simple Interest)

Thus, Jaimin has to pay an interest of Rs 2400 at the end of 2 years.

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