Question

A seller shirts 25% more than the cost value of the shirt but after giving 10% discount to it 75 Rs profit. cost of shirt will be

Answer 1

The information given to us,

Marked Price ( MP ) = 25% more than Cost Price ( CP )
Discount percentage ( d % ) = 10 %
Profit made ( P ) = ₹ 75

$\large\underline\bold{Solution:\longrightarrow}$

Let the CP be ₹ x.

According to the question,

MP = 25% more than CP
MP = x + 25x/100
MP = 125x / 100
MP = 5x / 4

Hence,

SP = MP - 10% of MP
SP = ( 5x / 4 ) - ( 10 % of 5x / 4 )
SP = ( 5x / 4 ) - ( 10 / 100 * 5x / 4 )
SP = ( 5x / 4 ) - ( 5 / 20 * x / 2 )
SP = ( 5x / 4 ) - ( 1 / 4 * x / 2 )
SP = ( 5x / 4 ) - ( x / 8 )
SP = ( 10x - x ) / 8
SP = 9x / 8

But,

Profit = ₹ 75
SP - CP = ₹ 75
( 9x / 8 ) - ( x ) = ₹ 75
( 9x - 8x ) / 8 = ₹ 75
x = ₹ 75 * 8
x = ₹ 600

Hence,

Cost Price = ₹ 600

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