Question

The difference between two selling price of a T shirt with profit of 4% and 5% respectively is ₹6. Find
1) C.P pf the T shirt .
2) S.P of each T shirt

Answer 1

$\sf\large\underline{Let:}$

$\rm{\implies The\: cost\: price\:of\:each\: T-shirt=x}$

$\sf\large\underline{To\: Find:}$

$\rm{\implies SP\:_{(each\: T-shirt)}}$

$\rm{\implies CP\:_{(each\: T-shirt)}}$

$\sf\large\underline{Solution:}$

• At first calculate the Cost price than calculate the selling price of t-shirt ,here]

$\rm{\implies Profit\:on\:_{(1st\: T-shirt)}=4\%}$

$\tt{\implies SP=\dfrac{100+G\%}{100}\times\:CP}$

$\tt{\implies SP=\dfrac{100+4}{100}\times\:x}$

$\tt{\implies SP=\dfrac{104x}{100}}$

$\rm{\implies Profit\:on\:_{(2nd\: T-shirt)}=5\%}$

$\tt{\implies SP=\dfrac{100+G\%}{100}\times\:CP}$

$\tt{\implies SP=\dfrac{100+5}{100}\times\:x}$

$\tt{\implies SP=\dfrac{105x}{100}}$

• Given difference is Rs.6]

$\tt{\implies \dfrac{105x}{100}-\dfrac{104x}{100}=6}$

$\tt{\implies \dfrac{105x-104x}{100}=6}$

$\tt{\implies \dfrac{x}{100}=6}$

$\tt{\implies x=Rs.600}$

• Now, calculate SP of each t-shirt]

$\tt{\implies SP=\dfrac{100+G\%}{100}\times\:CP}$

$\tt{\implies SP=\dfrac{100+4}{100}\times\:600}$

$\tt{\implies SP=\dfrac{104}{100}\times\:600}$

$\tt{\implies SP\:_{(1st\: T-shirt)}=Rs.624}$

$\tt{\implies SP=\dfrac{100+5}{100}\times\:600}$

$\tt{\implies SP=\dfrac{105}{100}\times\:600}$

$\tt{\implies SP\:_{(2nd\: T-shirt)}=Rs.630}$

$\sf\large{Hence,}$

$\bf{\implies SP\:_{(1st\: T-shirt)}=Rs.624}$

$\bf{\implies SP\:_{(2nd\: T-shirt)}=Rs.630}$

$\rm{\implies CP\:_{(each\: T-shirt)}=Rs.600}$

$\sf\large\underline{Verification:}$

$\rm{\implies SP_2-SP_1=6}$

$\rm{\implies 630-624=6}$

$\rm{\implies 6=6}$

$\sf\large\underline{Hence,\: Verified:}$

Answer 2

Given

The difference of Sp=6

we get profit after selling of two t-shirt 4% and 5%

Solution

• Using formula to find out the sp

SP=100+g%/100×100

here assume that cp be x

=>105x/100-104x/100=6

=>x/100=6

=>x=600

so

selling of T-shirt

Sp=105×600/100

sp=630

sp=104×600/100

sp=624

cp=600