33 मी0 कपड़े बेचकर एक व्यक्ति 11 मी0 कपड़े के क्रय मूल्य के बराबर लाभ कमाता है, तो उसका प्रतिशत लाभ ज्ञात करें।

Options

A. `33(1)/(3)`%
B. `33(1)/(2)` %
C. `33` %
D. `34(1)/(3)` %

Answer

A

Explanation

(a) Let SP of 1 meter cloth ( माना की 1 मीटर कपड़े का विक्रय मूल्य ) = Rs. 1
SP of 33 meter cloth = Rs 33
CP of 1 meter cloth = Rs. x
CP of 33 meter cloth= Rs. 33x
According to question,
Profit =SP-CP
11x=33-33x
44x=33
`x=(33)/(44)=(3)/(4)`
CP of 1 meter = Rs. `(3)/(4)`
CP of 33 meters `=(3)/(4)xx33=Rs. (99)/(4)`
SP of 33 meter = Rs. 33
Profit =SP-CP`=33-(99)/(4)=(33)/(4)`
`:.` Profit% `=((33)/(4))/((99)/(4))xx100=(33)/(99)xx100`
`=(1)/(3)xx100=33(1)/(3)%`
Let SP of 1 metre cloth =Rs.1
SP of 33 meter cloth=33
33SP-33CP=11CP
33SP=44CP

Profit=1
Profit %`=(1)/(3)100=33(1)/(3)%`