a man bought goods worth rupees 6000 and sold half of them at a gain of 10% at what gain percent must he sell the reminder to get a gain of 25% on the whole
Ram1993:
25% of 6000=1500....half one is sold at 10% means...10% of 3000=300....so remaining 1200/-....so 1200/3000 × 100=40%...so if the another half is sold at a gain of 40% then it will gain overall 25%.
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20%. As 10% of 3000 will be 5% of 6000
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LET the no. of good be 'x'
Cp of 'x' goods= 6000
CP of 1 good= 6000/x
CP of 'x/2' goods= 6000/x * x/2
= 3000
Gain=10%
Sp= 110/100*3000 (formula)
= 3300
Now, to gain on the whole
Gain required=25%
Cp= 6000
Sp = 125*6000/100
= 7500
Now,
Sp that we got by selling 'x/2' goods = 3300
Remaining Sp = 7500 - 3300
= 4200.
Remaining goods= x/2
Therefore he must sell it in 4200.
Gain= 4200 - 3000
= 1200
Gain%= 1200*100/3000
= 40%
Cp of 'x' goods= 6000
CP of 1 good= 6000/x
CP of 'x/2' goods= 6000/x * x/2
= 3000
Gain=10%
Sp= 110/100*3000 (formula)
= 3300
Now, to gain on the whole
Gain required=25%
Cp= 6000
Sp = 125*6000/100
= 7500
Now,
Sp that we got by selling 'x/2' goods = 3300
Remaining Sp = 7500 - 3300
= 4200.
Remaining goods= x/2
Therefore he must sell it in 4200.
Gain= 4200 - 3000
= 1200
Gain%= 1200*100/3000
= 40%
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