Respuesta :

                       Question # 1

Answer:

The actual cost will be = 17,000 Rs

Step-by-step explanation:

Let us suppose 'C' is the actual cost of the table.

The money spent by shopkeeper on polishing and transportation = 1000 Rs

Total cost = [tex]C + 1000[/tex]

As the profit [tex]=12\frac{1}{2}\%\:=\:12.5\%\:[/tex]

So

Sale price without tax will be = [tex]\left(C+1000\right)\:\cdot \frac{\left(100+25\right)}{100}[/tex]

                                                 [tex]=\frac{\left(100+25\right)\left(C+1000\right)}{100}[/tex]

                                                  [tex]=\frac{125\left(C+1000\right)}{100}[/tex]

                                                  [tex]=\frac{5\left(C+1000\right)}{4}[/tex]

Sales Tax = [tex]\frac{5\left(C+1000\right)}{4}\times \frac{6}{100}[/tex]

so

The total price paid by Arvind is :

                           [tex]5\:\frac{\left(C+1000\right)}{4}\:\cdot \:\frac{106}{100}\:=\:23,\:850[/tex]

                                    [tex]\frac{53C}{40}+1325=23850[/tex]

                                    [tex]53C+53000=954000[/tex]

                                            [tex]53C=901000[/tex]

                                             [tex]\frac{53C}{53}=\frac{901000}{53}[/tex]

                                              [tex]C = 17, 000[/tex]  Rs

Therefore, the actual cost will be = 17,000 Rs

                     Question # 2

Answer:

The overhead charges were = 3171000 Rs

Step-by-step explanation:

Gagan bought a plot of land for the price = 2,35,000

Profit = 40% of 2,35,000

        = [tex]\frac{40}{100}\times 235000[/tex]

       [tex]=94000[/tex] Rs

Sale Price after 40% profit = 235000 + 94000

                 = 329000 Rs

Overhead Charges = Final Sale Price - Sale Price after 40% profit

                               = 3500000 - 329000

                               = 3171000

Therefore, the overhead charges were = 3171000 Rs

                            Question # 3

Answer:

The required Cost Price = 2800 Rs

Step-by-step explanation:

Marginal Price = 4200 Rs

Sales Price [tex]=4200\times 80/100[/tex]

                   [tex]=3360[/tex]

According to the information given in the question

[tex]Cost\:Price+Cost\:Price\:\times \:20/100=3360[/tex]

[tex]Cost\:Price\left(1+1/5\right)=3360[/tex]

[tex]Cost\:Price\times \frac{6}{5}=3360[/tex]

[tex]Cost\:Price=3360\:\times \:\frac{5}{6}[/tex]

[tex]Cost\:Price=2800[/tex]

Therefore, the required Cost Price = 2800 Rs

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