Question:1
The cost price of 12 candles is equal to the selling price of 15 candles. Find the loss per cent.
Question:2
By selling 130 cassettes, a man gains an amount equal to the selling price of 5 cassettes. S-C Find the gain per cent.
Question:3
By selling 45 lemons, a vendor loses a sum equal to the selling price of 3 lemons. Find his loss per cent.
Question:4
Oranges are bought at 6 for 20 and sold at 4 for 18. Find the gain or loss per cent.
Question:5
A vendor purchased bananas at 40 per dozen and sold them at 10 for 36. Find his gain or loss per cent.
Answers
CP = Cost Price
Let, SP of one candle be Rs. 1
Then SP of 15 candles=Rs. 15
Hence, CP of 12 candles=Rs. 15
And SP of 12 candles=Rs. 12
∴ Loss = CP−SP = Rs. 15−Rs. 12 =Rs. 3
Loss percent = Loss/CP*100%=
3/5*100=20%
2.Let the cost price of each cassette be Rs.10
Cost price of 130 cassette =130×10=1300
By selling, he gained SP of 5 cassettes
therefore,
Cost price of 130 cassettes = Selling price of 125 cassettes
SP of 5 cassettes = 1300/125*5=52
He gained Rs.52 on selling 130 cassettes
So,
Gain %= Gain/Total CP*100
52/1300*100=4
Therefore gain percent is 4%.
3. Let 'x' be the selling price of one lemon
Number of lemon =45
So, total selling price =45x
Loss = selling price of 3 lemons =3x
So total cost =SP+Loss=45x+3x=48x
Loss %= Loss/Total cost*100
3x/48x*100
=1/16*100
=6.25
Answer:
question 1:
Cost price of 12 candles = selling price of 15 candles.
Let C.P of 12 candles be x.
Then C.P of 1 candle = x/12
SP of 15 candles = x
So S.P of 1 candle = x/15
Loss = C.P – S.P
= x/12 – x/15
= 3x/180
= x/60
Loss % = (loss/C.P)100
= 1200/60
= 20 %
Hence the loss percent is 20%.
question 2:
Let the cost price of each cassette be Rs.10
Cost price of 130 cassette =130×10=1300
By selling, he gained SP of 5 cassettes
therefore,
Cost price of 130 cassettes = Selling price of 125 cassettes
SP of 5 cassettes =1251300×5=52
He gained Rs.52 on selling 130 cassettes
So,
Gain %=Total CPGain×100
=130052×100
=4
Therefore gain percent is 4%.
question 3
Let 'x' be the selling price of one lemon
Number of lemon =45
So, total selling price =45x
Loss = selling price of 3 lemons =3x
So total cost =SP+Loss=45x+3x=48x
Loss %=Total costLoss×100
=48x3x×100
=483×100
=16100
=6.25%
question 4
Given,
C.P of 6 oranges =Rs.20
C.P of 1 orange =620=Rs.3.333
S.P of 4 oranges =Rs.18
S.P of 1 orange =418=Rs.4.5
Here, S.P is greater than C.P, so its gain
Therefore,
Gain =C.PS.P−C.P×100
or, Gain =3.334.5−3.33×100
or, Gain =3.331.17×100
or, Gain =35.135%
question 5
Cost Price 40/12=3.33 rupees/banana
Selling Price 36/10=3.6 rupees/banana
Therefore,
It is 43.2 for 12 bananas
Profit=SellingPrice−CostPrice
=43.2−40=3.2
Therefore,
Profit %=403.2×100
=8% profit
Hence, 8% is the answer.