A television set is sold for Rs. 25,000. If the
ratio of SP:CP is 5:3, then the profit is
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Page No 132:
Question 1:
Find the gain or loss per cent when:
(i) CP = Rs 620 and SP = Rs 713
(ii) CP = Rs 675 and SP = Rs 630
(iii) CP = Rs 345 and SP = Rs 372.60
(iv) CP = Rs 80 and SP = Rs 76.80
ANSWER:
(i)CP=Rs. 620 SP=Rs. 713Since SP> CP, there is a gain.Gain =713 - 620 = Rs. 93Gain percentage=(
gain
CP
×100)% =(
93
620
×100)% =15%
(ii)
CP=Rs 675 SP=Rs 630Since SP< CP, there is a loss.Loss=675 - 630 = Rs. 45Loss percentage =(
Loss
CP
×100)% =(
45
675
×100)% =6
2
3
%
(iii)
CP=Rs. 345 SP=Rs. 372.60Since SP> CP, there is a gain.Gain=372.60 - 345 = Rs. 27.6Gain percentage=(
gain
CP
×100)% =(
27.6
345
×100)% =(
2760
345
)% =8%
(iv)
CP=Rs 80 SP=Rs 76.80Since SP< CP, there is a loss.Loss =80 - 76.80 = Rs. 3.2Loss percentage=(
loss
CP
×100)% =(
3.2
80
×100)% =(
32
80
×100)% =4%
Page No 132:
Question 2:
Find the selling price when:
(i) CP = Rs 1650 and gain% = 4%
(ii) CP = Rs 915 and gain% = 6
2
3
%
(iii) CP = Rs 875 and loss% = 12%
(iv) CP = Rs 645 and loss% = 13
1
3
%
ANSWER:
(i)
CP=Rs. 1650Gain percentage=4%SP=
(100+gain %)
100
×CP=
(100+4)
100
×1650=
104×1650
100
=Rs. 1716
(ii)
CP=Rs. 915Gain percentage=6
2
3
%=
20
3
%SP=
(100+gain %)
100
×CP=
(100+
20
3
)
100
×915=
(
320
3
)
100
×915=(
320
3
)×(
1
100
)×915=Rs. 976
(iii)
CP=Rs. 875Loss percentage=12%SP=
(100-loss %)
100
×CP=
(100-12)
100
×875=
77000
100
=Rs. 770
(iv)
CP=Rs. 645Loss percentage=13
1
3
%=
40
3
%S