Question

Question #30
Revisit
Choose the best optior
A certain piece of land is sold for Rs. 8,75,000; the owner loses 12.5%. At what approximate price must the land be
sold in order to gain the same percentage?
Rs. 11,25,000
Rs. 10,25,000
O Rs. 9,84,375
O Rs. 10.93,750​

Answer 1

Answer:

1125000

Step-by-step explanation:

let cost of land be x

then

x - (12.5/100)*x. =875000

x(1 - 0.125) = 875000

x = 875000 / 0.875 = 1000000

hence selling price = 1000000 * 12.5%

= 1125000

Answer 2

Answer:

Selling price must be 11,25,000 Rs.

Step-by-step explanation:

Given data

Selling price of the land = 8,75,000 Rs.

The loss percentage on land = 12.5%  

here we need to find what approximate price must the land be

sold in order to gain the same percentage

Let x be the cost price

then loss on cost price  = $\frac{12.5}{100} x$ = 0.125 x  

we know that  S.P = C.P – loss

                        8,75,000  = x - 0.125 x

                         8,75,000 = 0.875 x

                         x = 1000000

cost price of the land = 10,00,000 Rs.

if he gain 12.5% on 10,00,000 then profit = $\frac{12.5}{100}( 10,00,000)$  

                                                                    = 1,25,000

then the selling price  =  10,00,000 + 1,25,000

                                     =  11,25,000  

then the selling price must be 11,25,000 Rs.