4 A Bakery sells two choco chip cakes at 175 each. If it made 20% loss on selling one and 40% profit on
selling the other, find its net loss or profit per cent on the sale of the two cakes
5. All goods at an electronics shop are marked 30% above cost price. After allowing 8% discount on a stereo
set, if the shopowner gets 10,166, at what price had the shopowner bought the stereo set?
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Answer:
(4)net gain=1.818%
(5)cp=8458.19
Step-by-step explanation:
sp1=sp2=175
for 20% loss
20%=(cp-sp)*100/cp
=(1-sp/cp)*100
so
1-(sp/cp)=20/100=0.2
or sp/cp=0.8
and (175/cp)=0.8
cp1=175/0.8
=218.75
For cp2,
40%=(sp/cp)-1=0.4
sp/cp=1.40
175/cp=1.40
cp2=175/1.4
=125
Now net cp=218.75+125
=343.75
net sp=350
gain%
=(350-343.75)*100/343.75
=6.25*100/343.75
=625/343.75
=1.8181818181818
(5)He gets 10166 finally.
So before 8% discount,
the marked sp was
10116/0.92 (as 92 is 100-8%)
=10995.65
This is 30% above cp.
so
cp = 10995.65/1.30
= 8458.19
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