Question

A shopkeeper sells two suitcases for 2464 each containing 12% and losing 12% on the other.find his gain or loss percent on the whole.
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need full explanation^^"​

Answer 1

Answer:

11125% loss

Description for Correct answer:

Loss per cent

= (Common gain or loss10)2%

= (1210)2=3625=11125%

Answer 2

$\sf\red{★Given:}$

• SP of the first suitcase=$\rm{₹2464}$
• $\rm{Gain\%=12\%}$
• $\rm{Loss\%\:on\:other\:suitcase=12\%}$

$\sf\blue{★To\:find:}$

• The gain or loss percent in the whole Transition.

$\sf\green{★Solution:}$

•CP of the first suitcase$\rm{=₹}\dfrac{100}{100+12}×2464$

$\rm{=₹}\dfrac{100}{112}×2464$

$\rm{=₹2200}$

•CP of second suitcase=$\rm{=₹}\dfrac{100}{100-12}×2464$

$\rm{=₹}\dfrac{100}{88}×2464$

$\rm{=₹2800}$

★Total CP of two suitcases$\rm{=₹2200+2800=₹5000}$

★Total SP of two suitcases$\rm{=₹(2×2464)=₹4928}$

Thus,SP<CP, therefore,here it is loss.

$\sf{Loss=CP-SP}$

${=₹(5000-4928)=₹72}$

$\sf{Loss\%=}\dfrac{Loss}{CP}×100$

$\sf{=}\dfrac{72}{5000}×100$

$\sf{=1}\dfrac{11}{25}$

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Hope it's helpful♡