Question

The difference between two selling prices of a T-shirt with profits of 4 percent and 5 percent respectively is rupees 6. Find : (i) C.P. of the T-shirt (ii) S.P. of each T-shirt.​

Answer 1

Answer:

cost of T shirt is Rs: 600

Step-by-step explanation:

The difference in two selling prices of t-shirt is due to different profits of the t-shirts

The selling price of t-shirt with 4% profit is

CP +4× CP/100 = 104CP/100

The selling price of t-shirt with 5% profit is

CP+ 5×CP/100 = 105CP/100

Difference is Rs 6

CP/100 = 6 CP = 600

Cost price of T-shirt is 600

Answer 2

Giνєи —

• The difference between two selling prices of a T-shirt with profits of 4 percent and 5 percent respectively is rupees 6.

Tσ Fiиd —

• i) C.P. of the T-shirt
• (ii) S.P. of each T-shirt.

Sσℓυтiσи –

✪ Let the C.P of both the shirts be Rs. x

➙ C.P = Rs. x

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✪ We know that :

$\qquad\bigstar{\boxed{\pmb{\mathfrak{Profit\% = \dfrac{Profit}{CP}\times 100}}}}$

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$\qquad\bigstar{\boxed{\pmb{\mathfrak{S.P = C.P+ Profit }}}}$

✪ For shirt 1 (Profit is 4%) :

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

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

$\sf{\implies Profit =\dfrac{4}{100}\times C.P}$

$\sf{\implies Profit = 0.04 \times x \qquad\qquad\qquad\bigg\lgroup since , C.P = x \bigg\rgroup }$

$\sf{\implies Profit = 0.04x}$

➻ S.P :

$\sf\bold{\implies S.P = C.P + Profit }$

$\sf{\implies S.P = x + 0.04x }$

$\sf{\implies S.P = 1.04x}$

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✪ For shirt 2 ( profit is 5% ) :

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

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

$\sf{\implies Profit = \dfrac{5}{100}\times C.P}$

$\sf{\implies Profit =0.05 \times x }$

$\sf{\implies Profit = 0.05x }$

➻ S.P :

$\sf\bold{\implies S.P = C.P + Profit }$

$\sf{\implies S.P = x + 0.05x }$

$\sf{\implies S.P = 1.05x }$

✪ It is given that the difference between their S.P is 6 , so :

$\sf{\implies 1.05x - 1.04x = 6 }$

$\sf{\implies 0.01x = 6}$

$\sf{\implies x = \dfrac{6}{0.01}}$

$\sf{\implies x = 6\times 100 }$

$\sf{\implies x = 600 }$

❝ Thus , C.P = Rs. 600 ❞

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✪ S.P of shirt 1 :

$\sf{\implies S.P = 1.04x}$

$\sf{\implies S.P = 1.04\times 600}$

$\sf{\implies S.P = \dfrac{104}{100}\times 600}$

$\sf{\implies S.P = \cancel{\dfrac{62400}{100}} }$

$\sf{\implies S.P = 624}$

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✪ S.P of shirt 2 :

$\sf{\implies S.P = 1.05x}$

$\sf{\implies S.P = 1.05\times 600}$

$\sf{\implies S.P = \dfrac{105}{100}\times 600}$

$\sf{\implies S.P =\cancel{\dfrac{6300}{100}}}$

$\sf{\implies S.P = 630}$

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❝ Hence , the S.P of shirt 1 and shirt 2 are Rs. 624 and Rs. 630 ❞