Question

Roma sells a chair to Monika at a profit of 10% and Monika again sells it to Mira at a profit of 5%. If Mira pays 462 to Monika, then the cost price of chair for Roma is​

Answer 1

Answer:

13

Step-by-step explanation:

Answer 2

The cost price of the mentioned chair for Roma is Rs. 350.

Given,

Roma sells one chair at a profit of 10% to Monika.

Monika again sells the chair at a profit of 5% to Mira.

Mira pays Rs. 462 to Monika.

To Find,

The cost price of the mentioned chair for Roma.

Solution,

We can solve this mathematical problem using the following method.

The formula to find the profit is as follows,
Profit = $\frac{SP-CP}{CP}$×100, where SP= selling price, CP= cost price.

Let's assume the cost price is x.

Therefore, Roma sells the chair at the price of, x+$\frac{(10)}{100}$x= $\frac{110x}{100}$ Rs.

So, this CP for Mira becomes SP for Monika and got a profit of 5%.

So the CP for Mira becomes,  $\frac{110x}{100}.\frac{120}{100}$.

Now given, CP for Mira is Rs. 462.

Hence,    $\frac{110x}{100}.\frac{120}{100}$.=462.

⇒  $\frac{11.12x}{100}$=462.

⇒$x=\frac{4200}{12}$.

⇒x=350.

Hence, The cost price of the mentioned chair for Roma is Rs. 350.

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