Question

If a dealer purchase a music system for rs 15320 he allows a discount of 12% on the marked price and gains 10% on it. Find the marked price of the music system

Answer 1

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Answer 2

Answer:

The marked price of the music system is Rs 19150.

Step-by-step explanation:

Given : If a dealer purchase a music system for Rs.15320 he allows a discount of 12% on the marked price and gains 10% on it.

To find : The marked price of the music system?

Solution :

Let x be the marked price.

Discount= 12%

The cost price is rs.15320

The selling price is

$SP=MP-(\frac{D\%}{100}\times MP)$

$SP=x-(\frac{12}{100}\times x)$

$SP=x-0.12x$

$SP=0.88x$

The profit% is 10%.

The selling price is

$SP=CP\times (1+\frac{G\%}{100})$

$SP=15320\times (1+\frac{10}{100})$

$SP=15320\times (1+0.1)$

$SP=15320\times (1.1)$

$SP=16852$

Equating both the selling price,

$0.88x=16852$

$x=\frac{16852}{0.88}$

$x=19150$

Therefore, The marked price of the music system is Rs 19150.