Question

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QUESTION:-
A vendor marks goods 45% above the cost price and allows a discount of
40% during the sale. Find the profit percentage of the vendor.
​
NOTE:-
••••no spams!!

Answer 1

Given :

A vendor marks goods 45% above the cost price and allows a discount of

40% during the sale.

To find :

• Let the CP be Rs.100
• MP is 45% above CP

$\mathtt\blue{❖Formula \: used:}$

$\sf\red{Discount \: Percentage = \frac{Discount \: Percentage }{Marked \: Price} \times 100\% }$

$\sf\red{ = 100 + 45 \%\: of \:100 }$

$\sf\red{ = 100 + 45 \%= rs.145}$

• Discount offered on MP

$\sf\red{ = 145 \times 40\% }$

$\sf\red{ = \frac{40}{100} \times 145 = rs.58 }$

• S.P. of Goods

$\mathtt\pink{ = M .P.- Discount}$

$\mathtt\pink{ = 145 - 58}$

$\mathtt\pink{ = rs.87}$

• S.P. > C.P. , thus the vendor made profit:

$\mathtt\orange{ = 100 - 87}$

$\mathtt\orange{ = rs.13\%}$

Verified :

$\sf\red{❏Hence}$

$\red{Rs.13\%}$

Answer 2

yaha dekh chote:) mathematics ke bache ko dekh:D

Let the CP be Rs.100

MP : 45% above the C.P. [ Question how?

Answer : A vendor 'marks' = marked price:) ]

Formula: Discount = Discount Percent/M.P. * 100

[ see the question has given as ' marks 45% above the cost price ]

Therefore, 100 + 45% * 100

$= 100 + \frac{45}{100} \times 100$

[ zero will get cancelled ]

$= \: \: rupees (100 + 45)$

$= \: \: rupees \: 145$

[ let's get back to question: The sabji wala puts a discount of 40% ]

So, we will find out the discount instead of this discount percent:]

Hence, Discount: Rs 145 * 40%

= Rs 145 * 40/100

= Rs 145 * 2/5

= Rs 290/5

= Rs 58

Formula to find S.P. when M.P. and Discount

Therefore, S.P. = M.P. - Discount

= Rs ( 145 - 58 )

= Rs 87

So, here, S.P. is greater than C.P.

=> Profit: 100 - 87

= Rs 13

This is our profit but the percent is also the same as the profit

the same as the profit Therefore, the profit percent is : 13%