Question

the cost price of an article 'A' is 160rs and the selling price of another article 'B' is 240rs. If the selling price of A will be equal to B then the profit after selling 'A' is 20%. Find the profit of'B'
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Answer 1

Step-by-step explanation:

Correct question:-

The cost price of an article 'A' is 160rs and the selling price of another article 'B' is 240rs. If the selling price of A will be equal to the cost price of B then the profit after selling 'A' is 20%. Find the profit of'B'

$\bf{\underline{\underline\red{Given:-}}}$

• The cost price of an article A is Rs.160

• The selling of another article B is Rs.240

• If the selling price of A will be equal to cost price of B then the profit after selling 'A' is 20%.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The profit of B.

$\bf{\underline{\underline\green{Solution:-}}}$

According to the given question

Cost price of A = Rs. 160

Profit % = 20%

As we know that

The formula used for finding S.P

$\boxed{ \rm \pink{\leadsto S.P = \frac{100 + Profit\% }{100} \times C.P}}$

$\rm \implies S.P = \dfrac{100 + 20}{100} \times C.P$

$\rm \implies S.P = \dfrac{ 120}{100} \times160$

$\rm \implies S.P = 12 \times 16$

$\rm \implies S.P = Rs.192$

S.P of A = Rs.192

According to the question

Selling price of A will be equal to cost price of B

So:-

Cost price of B = Rs.192

Selling price of B = Rs.240

Profit = S.P - C.P

= 240 - 192

= 48

Profit = Rs.48

$\rm \implies Profit\% = \dfrac{Profit}{C.P} \times 100\%$

$\rm \implies \dfrac{48}{192} \times 100\%$

$\rm \implies 0.25 \times 100\%$

$\rm \implies 25\%$

$\underline{\boxed {\purple{\rm \therefore Profit \: of \: B = 25\%}}}$

Answer 2

Answer

Correct question:-

The cost price of an article 'A' is 160rs and the selling price of another article 'B' is 240rs. If the selling price of A will be equal to the cost price of B then the profit after selling 'A' is 20%. Find the profit of'B'

The cost price of an article A is Rs.160

The selling of another article B is Rs.240

If the selling price of A will be equal to cost price of B then the profit after selling 'A' is 20%.

The profit of B.

According to the given question

Cost price of A = Rs. 160

Profit % = 20%

As we know that

The formula used for finding S.P

S.P of A = Rs.192

According to the question

Selling price of A will be equal to cost price of B

So:-

Cost price of B = Rs.192

Selling price of B = Rs.240

Profit = S.P - C.P

= 240 - 192

= 48

Profit = Rs.48