Question

sanjay sold an article at a loss of 25 percent if the selling price had been increased by rs 175.there would have been gain of 10 percent. what should be the cost price of an article​

Answer 1

The cost price is Rs.500

Step-by-step explanation:

I'll approach this question by taking the statements in the question, one after the other

Let the cost price be represented by CP

From the first statement:

Sanjay made a loss of 25%

The selling price (SP) is as follows;

`SP = CP - 25\% * CP`

Convert percent to fraction

`SP =CP - (25)/(100) * CP`

Get decimal equivalent

`SP = CP-0.25 * CP`

`SP = CP - 0.25CP`

`SP = 0.75CP`

From the second statement:

If the selling price was increased by 175%, Sanjay would make a profit of 10%

Hence; The new selling price is

`SP = 0.75CP + 175`

The selling price can also be calculated from the profit

`SP = CP + 10\% * CP`

Convert percent to fraction

`SP = CP + (10)/(100) * CP`

Get decimal equivalent

`SP = CP + 0.10 * CP`

`SP = CP + 0.10 CP`

`SP = 1.10 CP`

Equate both values of SP (SP = SP)

`1.10CP = 0.75CP + 175`

Collect Like Terms

`1.10CP - 0.75CP = 175`

`0.35CP = 1.75`

Divide both sides by 0.35

`CP = (175)/(0.35)`

`CP = 500`

Hence, the cost price is Rs.500