Question

The cost price of 150 mangoes is equal to the selling price of 90 mangoes. What is the percentage profit?

Answer 1

$\huge\mathbb{\underline{SOLUTION:-}}$

$\sf\underline{\underline{\purple{Given:-}}}$

$\sf\:\bullet C.P\:of\:150\: mangoes=S .P\:of\:90mangoes$

• We have to calculate the profit percentage

$\sf\underline{\underline{\red{\:\:\:Solution:-\:\:\:}}}$

Now

$\sf\bullet C.P \:of \:150 \:mangoes =\:150Rs\\ \\ \sf\bullet S.P \:of \: 90\:mangoes\: =150Rs$

So :-

$\boxed{\tt{Profit\%=\dfrac{Actual\: Profit}{C.P}\times 100\%}}$

• So the C.P of 90 mangoes = 90Rs

• S.P of 90 mangoes =150Rs

Then :-

$\sf:\implies profit\:\%=\dfrac{S.P\:-\:C.P}{C.P}\times 100\%\\ \\ \sf:\implies Profit\%=\dfrac{150-90}{9\cancel0}\times 10\cancel{0}\%\\ \\ \sf:\implies Profit\%=\dfrac{\cancel{60}}{\cancel9}\times 10\%\\ \\ \sf:\implies Profit\%=\dfrac{20}{3}\times 10\%\\ \\ \sf:\implies Profit\%=\dfrac{200}{3}\:\:or\:\:66\dfrac{2}{3}\%$

$\underline{\boxed{\sf{\purple{Profit\%=66\dfrac{2}{3}\%}}}}$

Answer 2

$\bold{\underline{\underline{\huge{\sf{\pink{AnsWer:}}}}}}$

$\bold{\boxed{\large{\sf{\purple{Profit\:percentage\:=\:66.67\:\%}}}}}$

Given :

• Cost price of 150 mangoes is equal to the selling price of 90 mangoes.

To Find :

• Percentage profit of the transaction

Solution :

Cost price of 150 mangoes = ₹ 150

From the given statement :

• Selling price of 90 mangoes = ₹ 150

The cost price of 90 mangoes will be ₹ 90.

$\mathtt{Profit\:=\:S.P\:-\:C.P}$

$\mathtt{Profit\:=\:\:150\:-\:90}$

$\mathtt{Profit\:=\:60}$

The Gain incurred in the transaction is ₹ 60.

Profit Percentage :

$\bold{\large{\boxed{\mathtt{\red{Profit\:\%\:=\:{\dfrac{Profit}{C.P}\:\times\:100}}}}}}$

Block in the data,

➞ $\mathtt{\dfrac{60}{90}\:\times\:\:100}$

➞ $\mathtt{\dfrac{6}{9}\:\times\:100}$

➞ $\mathtt{\dfrac{600}{9}}$

➞ $\mathtt{66.67\%}$

∴ Profit percentage = 66.67%