Question

An article is sold at 25% profit.if its c.p and s.p are increased by r.s 20 and r.s 4 respectively, then the profit decreases by 10%.the c.p (in rupees) of that article is...?
Plz solve this

Answer 1

Given :

Article is sold by 25% profit.

Cost price increased by 20 rs, Selling price increased by 4 rupees.

Profit decreased by 10%.

To find :

Find cost price of article.

Solution :

Lets assume that the cost price of article = x

Article is sold at profite of 25 %,

As, 100% of article = x rupees

Profite of 25 % means that article is sold at the rate of 100 + 25 = 125% rate.

So,

Selling price of article :

$\bf \: = \frac{ x }{100} \times 125 = 1.25x$

so, selling price of article = 1.25 x

In second step,

It is given that cost price is increased by 20 rupees

So

New cost price = Old cost price + 20 = x + 20

and Selling price is increased by 4 rupees,

So

New selling price = Old selling price + 4 = 1.25x + 4

It is said that Profit is decreased by 10%,

so

New profit = Old profit - 10% = 25% - 10% = 15%

As the new profit is 15% it means

New Selling price = 100 + 15 % more than cost price

So

selling price = 1.15 (Cost price)

$(1.25x + 4) = 1.15 \times (x + 20) \\ 1.25x + 4 = 1.15x + 23 \\ 1.25 - 1.15 = 23 - 4 \\ 0.1x = 19$

multiplying by 10 on both sides,

so

x = 190 rupees

As x = Old cost price,

so

Cost price of article = 190 rupees.

Answer 2

Answer:

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