A trader sells two cycles at rs 1188 each, gaining 10% on the first cycle and losing 10% on the second cycle.What is the profit or loss per cent in the whole transaction
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1st case
SP of cycle = RS 1188
let CP of cycle = RS 100
gain = 10% of 100= 10
SP = CP + P
SP = rs100+ 10= RS 110
if SP is RS 110 , then CP RS 100
if SP is RS 1188 , then CP = Rs( 100/110× 1188) = Rs 1080
2nd case
SP of cycle= Rs1188
let CP of cycle= rs100
loss= 10% of 100 = 10
SP= CP- l
SP = rs100 - rs10
SP = RS 90
if SP is RS 90 , then CP = RS 100
if SP is RS 1188, then CP = RS (100/90×1188) = RS 1320
total CP = RS (1080+1320)= RS 2400
total SP = RS (1188+ 1188)= RS 2376
CP > SP = loss
loss = RS (2400-2376) = RS 24
loss% =( loss / CP × 100 ) %
= (24/2400×100) %
= 1%
SP of cycle = RS 1188
let CP of cycle = RS 100
gain = 10% of 100= 10
SP = CP + P
SP = rs100+ 10= RS 110
if SP is RS 110 , then CP RS 100
if SP is RS 1188 , then CP = Rs( 100/110× 1188) = Rs 1080
2nd case
SP of cycle= Rs1188
let CP of cycle= rs100
loss= 10% of 100 = 10
SP= CP- l
SP = rs100 - rs10
SP = RS 90
if SP is RS 90 , then CP = RS 100
if SP is RS 1188, then CP = RS (100/90×1188) = RS 1320
total CP = RS (1080+1320)= RS 2400
total SP = RS (1188+ 1188)= RS 2376
CP > SP = loss
loss = RS (2400-2376) = RS 24
loss% =( loss / CP × 100 ) %
= (24/2400×100) %
= 1%
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