Ahmed buys a plot of land for rs 48.he sells 2/5 of it at a loss of 6%.at what gain percent should he sell the remaining part of the plot to gain 10% on the whole?

Cost of land = 480000

 sold 2/5 land and the amount he got = 480000 * 2/5

                                                                = 192000

Loss of 6% percent =  192000(1-6/100)

                                 = 192000(94/100)

                                 = 1920 * 94

                                 = 180480

To gain 10% profit  = 480000 * 1.1

                               = 528000

selling 3/5 of land = 528000 - 180480

                               = 347520

cost of remaining 3/5 land= 480000 * 3/5 = 288000

Gain % = 100 * (347520 - 288000)/288000 = 20.66

Hope this helps!

The remaining part of the plot is sold at 20.67% of gain.

Step-by-step explanation:

Since we have given that

Worth of plot of land = Rs. 480000

At a loss of 6%, sold .

On whole transaction , he gain of 10% .

We need to find the gain percent on selling the remaining part of the plot to gain of 10% on whole transaction.

We will use " Mixture Allegation":

          Gain           Loss

             x                  -6

                       10

--------------------------------------------------

     16              :           x-10

Since it is sold in the ratio of 3:2.

As at loss of 6% it sold only and on gain of x% it sold only

According to question,

Hence, the remaining part of the plot is sold at 20.67% of gain.

20.66%

Step-by-step explanation:

Given, Cost of land = 480000

(i)

He sold 2/5 land and the amount he got = 480000 * 2/5

                                                                    = 192000

(ii)

Loss of 6% percent =  192000(1-6/100)

                                = 192000(94/100)

                                = 1920 * 94

                                = 180480

(iii)

To gain 10% profit  = 480000 * 1.1

                              = 528000

Selling 3/5 of land = 528000 - 180480

                              = 347520

Cost of remaining 3/5 land= 480000 * 3/5 = 288000.

Now,

Here, Selling price > Cost price. So, Gain has occurred.

Gain = Selling price - Cost price

        = 347520 - 288000

        = 59520

Gain% = (Gain/CP) * 100

          = (59520/288000) * 100

Hope it helps!

buy of land =480000

 2/5*480000=192000 rs

loss=6%

100-6/100*192000=180480

total gain =10%

100+10/100*480000=528000

sp=528000-180480=347520

cp of remaining part of land =3/5*480000=288000

gain% of remaining part of land= sp-cp/cp*100

<=>347520-288000/288000*100

=20.6 %