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A Man Sells 4 Identical Kites for Rs. 12 and Makes a Profit of 20%. If He Sells 6 Such Kites for Rs. 24, Find His Gain Or Loss Percent. - Mathematics

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Question

A man sells 4 identical kites for Rs. 12 and makes a profit of 20%. If he sells 6 such kites for Rs. 24, find his gain or loss percent.

Sum
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Solution

S.P. of 4 identical kites = Rs.12
S.P. = `((100 + "Profit")/100) xx "C.P."`

⇒ 12 = `((100 + 20)/100) xx "C.P."`

⇒ 1200 - (100 + 20) x C.P.

⇒ `(1200)/(120)` = C.P.
⇒ C.P. = Rs.10
So, the C.P. of 1 kite
= Rs.`(10)/(4)`

= Rs.`(5)/(2)`
Now, S.P. of 6 kites = Rs.24
So, S.P. of 1 kite 
= Rs.`(24)/(6)`
= Rs.4
Profit = S.P. - C.P.
= Rs. 4 - Rs.`(5)/(2)`
= Rs.`(3)/(2)`
Profit % = `"Profit"/"C.P." xx 100`
= `(3/2)/(5/2) xx 100`

= `(3)/(5) xx 100`
= 60%
Hence, his gain percent is 60%.

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Chapter 2: Profit , Loss and Discount - Exercise 2.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 2 Profit , Loss and Discount
Exercise 2.2 | Q 27

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