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October 24, 2014

October 24, 2014

Posted by **Ramesh Reddy** on Thursday, September 1, 2011 at 1:52am.

A man purchased goods Rs.880.He sold one-fourth of the goods at 15%loss.At what percent gain should the remaining be sold to gain 5% on the whole?

I had done the above problem like this:

C.P=Rs 880

C.P of 1/4th of the goods

=1/4*880=Rs 220

S.p=C.P*(100+g%)/100

=220*(100+5)/100

=220*105/100

=21*11

=Rs 231

Therefore he should sell it at Rs 231 to gain 5% profit.

- maths -
**Reiny**, Thursday, September 1, 2011 at 8:29amBut you did not answer the question.

It said " at what percent gain should the remaining be sold to gain 5% on the whole."

so he sold Rs 220 at a 15% loss --- (85/100)(220)

he must gain 5% on the whole --- (105/100)880

he sells the rest at x% of Rs 660

(85/100)(220) + (x/100)(660) = (105/100)880

times 100 and expand

18700 + 660x = 92400

x = 111.666

so he must sell the rest at a markup of 11.6666% or 11 2/3 %

check: with 15% loss on 220 = .85(220) = 187

with 11.66667% gain on 660 = 737

total = 924

gain of 5% on 880 = 1.05(880) = 924

YEAHHH!

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