Question

A seller Purchased 1000 dolls for Rs 8 each. However 150 dolls were found to be defective and
had to be thrown away. The remaining was sold at Rs 12 each. Find the gain or loss %.

Answer 1

$\bigstar\boxed{\large\bf\red{\leadsto Profit\% = 27.5\%}}$

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$\large\bf\underline{Given:}$

• ➨Total number of dolls purchased = 1000
• ➨ Cost of each doll = Rs 8

$\large\bf\underline{Total\:C.P:}$

ㅤㅤㅤㅤㅤ$\bf{=1000\times 8}$

ㅤ

ㅤㅤㅤㅤㅤ$\boxed{\bf{=Rs8000}}$

ㅤ

• ➨150 dolls were found to be defective and had to be thrown away

ㅤㅤㅤ$\sf{⟼(1000-150) = 850 \:dolls\:were\:sold}$

• ➨ These 850 dolls were sold at a rate of Rs 12 each

$\large\bf\underline{Total\:S.P:}$

ㅤㅤㅤㅤㅤ$\bf{=850\times 12}$

ㅤ

ㅤㅤㅤㅤㅤ$\bf{=Rs10,200}$

ㅤ

$\large\bf\underline{Profit\:or\:loss:}$

ㅤㅤㅤㅤㅤ$\bf{⟼S.P-C.P}$

ㅤ

ㅤㅤㅤㅤㅤ$\bf{=10200-8000}$

ㅤ

ㅤㅤㅤㅤㅤ$\bf{=+2200\:(profit)}$

ㅤ

$\large\bf\underline{Profit\: Percent:}$

ㅤㅤㅤㅤㅤ$\bf{⟼\frac{profit}{C.P}\times 100}$

ㅤ

ㅤㅤㅤㅤㅤ$\bf{⟼\frac{2200}{8000}\times 100}$

ㅤ

ㅤㅤㅤㅤㅤ$\bf{⟼27.5\%}$

ㅤ

$\bigstar\boxed{\large\bf{Hence\: profit\%= 27.5\%}}$