Math, asked by liza10987654321, 1 year ago

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A men sells an article at a gain of 15 % .Had he brought it at 10% loss and sold it for rs 4/- less, He would have gained 25% . Find the cost price of the article .

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Answers

Answered by siddhartharao77
5

Answer:

160

Step-by-step explanation:

Method-1:

Let the cost price of the article be 'x'.

(i) 15% Gain:

Selling price = x + 15% of x

                     = x + (15/100) * x

                     = (115/100) * x

                     = (23/20)x.

(ii) 10% Less:

Cost price = x - 10% of x

                  = x - (10/100) * x

                  = (90/100) * x

                   = (9/10)x

(iii) 25% Profit:

Selling price = (9x/10) + 25% of 9x/10

                     = (9x/10) + (25/100) * (9x/10)

                     = 9x/8

According to the question,

⇒ (23x/20) - (9x/8) = 4

⇒ x/40 = 4

⇒ x = 160.

Cost price of the article = 160.

Method - 2:

Let the cost price of the article be 100.

Then, Selling price = 115.

Cost price at 10% less = 90.

New Selling price at 25% profit = 125% of 90

                                                    = 112.5

Difference between the Selling prices = 115 - 112.5

                                                                = 2.5

When difference is 2.5, then CP = 100.

When difference is 4, then CP = (100 * 4)/2.5

                                                  = 160.

∴ Cost price of the article = 160.

Hope it helps!


Topperworm: Woowww really your answers r the best
siddhartharao77: Thank you dear.
siddhartharao77: Thank you liza
Answered by Anonymous
0

Answer:

160

Step-by-step explanation:

Assume cost price be 100.

Selling price will be 115.

When 10% loss, Cost price = 90

When 25% profit, Selling price = 125% of 90 = 112.5

Difference = 115 - 112.5 = 2.5

if difference is 2.5, then the cost price = 100.

If difference is 4, then cost price = (100 * 4)/2.5 = 160.

So, Cost price of the article = 160.

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