Exercise
3.2
Miscellaneous
Practice Problems
1. A shopkeeper buys three articles for ₹325, ₹450 and ₹510. He is able
to sell them for ₹350, ₹425 and ₹525 respectively. Find the gain or loss to the shopkeeper
on the whole.
Cost price of three articles = ₹ 325 + ₹ 450 + ₹ 510
= ₹ 1,285
Selling price of three articles = ₹ 350 + ₹ 425 + ₹ 525
= ₹ 1,300
C.P < S.P
Profit = S.P − C.P
= ₹ 1,300 − ₹ 1,285
= ₹ 15
2. A stationery shop owner bought a scientific calculator
for ₹750. He had put a battery worth ₹100 in it. He had
spent ₹50 for its outer pouch. He was able to sell it for
₹850. Find his profit or loss.
Cost price = ₹ 750
Cost of battery = ₹ 100
Cost of outer pouch = ₹ 50
Total cost price = ₹ 900
Selling Price = ₹ 850
C.P > S.P
Loss = C.P − S.P
= ₹ 900 − ₹ 850
= ₹ 50
3. Nathan paid ₹800 and bought 10 bottles of honey from a village
vendor. He sold them in a city for ₹100 per bottle. Find his profit or loss.
Cost price = ₹ 800
S.P of l bottle of honey = ₹ 100
S.P of 10 bottles of honey = ₹ 100 × 10
= ₹ 1,000
S.P = 1,000
C.P < S.P
Profit = S.P − C.P
= ₹ 1,000 − ₹ 800
= ₹ 200
4.
A man bought 400 metre of cloth for ₹60,000 and sold it at the rate of ₹400 per metre.
Find his profit or loss.
C.P of 400 metre of cloth = ₹ 60,000
S.P of 1 metre of cloth = ₹ 400
S.P of 400 metre of cloth = ₹ 400 × 400
= ₹ 1,60,000
C.P < S.P
Profit = S.P − C.P
= ₹ 1,60,000 − ₹ 60,000
= ₹ 1,00,000
Challenge Problems
5. A fruit seller bought 2 dozen bananas at ₹20 a dozen and
sold them at ₹3 per banana. Find his gain or loss.
C.P of one dozen bananas = ₹ 20
C.P of 2 dozen bananas = ₹ 20 × 2 = ₹ 40
2 dozen = 2 × 12 = 24 bananas.
S.P ofone banana = ₹ 3
S.P of 24 bananas = ₹ 3 × 24 = ₹ 72
C.P < S.P
Profit = S.P − C.P
= ₹ 72 − ₹ 40
= ₹ 32
6. A store purchased pens at ₹216 per dozen.
He paid ₹58 for conveyance and sold the pens at the discount
of ₹2 per pen and made a overall profit of ₹50. Find the M.P.
of each pen.
C.P of one dozen pens = ₹ 216
Conveyance charge = ₹ 58
Total C.P = ₹ 274
Profit = ₹ 50
S.P of one dozen pens = ₹ 324
S.P of one pen = ₹ 324 ÷ 12
= ₹ 27
Discount of one pen = ₹ 2
M.P of one pen = S.P + Discount
= ₹ 27 + ₹ 2
= ₹ 29
M.P of one pen = ₹ 29
7. A vegetable vendor buys 10 kg of tomatoes per day at ₹10 per kg, for the first three days of a week. 1
kg of tomatoes got smashed on everyday
for those 3 days. For the remaining 4 days of the week he buys 15 kg of tomatoes daily at ₹8 per kg. If for entire week he sells tomatoes
at ₹20 per kg,
then find his profit or loss for the week.
Tomatoes bought for one day = 10 kg
Tomatoes bought for 3 days = 3 × 10 = 30 kg
C.P of 1 kg of tomatoes = ₹ 10
C.P of 30 kg of tomatoes = ₹ 10 × 30 = ₹ 300
Smashed tomatoes in 3 days = 3 × 1 = 3 kg
Remaining tomatoes = 30 kg − 3 kg = 27 kg
Tomatoes bought for remaining 4 days = 4 × 15 = 60 kg
C.P of 1 kg of tomatoes = ₹ 8
C.P of 60 kg of tomatoes = ₹ 8 × 60 = ₹ 480
Total weight of tomatoes bought = (30 + 60) kg = 90 kg
C.P of 90 kg of tomatoes = ₹ 300 + ₹ 480 = ₹ 780
Leaving smashed tomatoes,
The remaining weight of tomatoes = 27 kg + 60 kg = 87 kg
S.P of 1 kg of tomatoes = ₹ 20
S.P of 87 kg of tomatoes = ₹ 20 × 87 = ₹ 1740
C.P < S.P
Profit = S.P − C.P
= ₹ 1740 − ₹ 780
Profit = ₹ 960
8.
An electrician buys a used T.V. for ₹12,000 and a used Fridge for ₹11,000. After spending
₹1000 on repairing the T.V. and ₹1500 on painting
the Fridge, he fixes up the M.P. of T.V. as ₹15,000 and that of Fridge as ₹15,500. If he gives
₹1000 discount on each find his profit or loss.
Cost price of T.V = ₹ 12,000
Repairing charge = ₹ 1,000
Total cost price = ₹ 13,000
M.P of T.V = ₹ 15,000
Distance = ₹ 1,000
Selling price = ₹ 14,000
C.P < S.P
Profit = S.P − C.P
= ₹ 14,000 − ₹ 13,000 = ₹
1,000
Cost price of Fridge = ₹ 11,000
Painting Charge = ₹ 1,500
Total cost price = ₹ 12,500
M.P of Fridge = ₹ 15,500
Discount = ₹ 1,000
Selling price = ₹ 14,500
C.P < S.P
Profit = S.P − C.P
= ₹ 14,500 − ₹ 12,500 = ₹ 2,000
Profit got by T.V. = ₹ 1,000
Profit got by Fridge = ₹ 2,000
Total profit = ₹ 1000 + ₹ 2000
= ₹ 3000
ANSWERS:
Exercise 3.2
1. Gain = ₹15
2. Loss = ₹50
3. Profit = ₹200
4. Profit
=₹1,00,000
5. Gain = ₹32
6. M.P. = ₹29
7. Profit =₹960
8. Profit = ₹3000
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