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

Answer:

The cost price is Rs.500

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

$SP =CP - \frac{25}{100} * CP$

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

$SP = CP + \frac{10}{100} * CP$

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

$CP = \frac{175}{0.35}$

$CP = 500$

Hence, the cost price is Rs.500