Solutions:
Cost of 7 m cloth = ₹ 1470
Cost of 1 m cloth = \(1470 \over 7\) = ₹ 210
So, cost of 5 m cloth = 210 × 5 = 1050
∴ Cost of 5 m cloth is ₹ 1050
2. Ekta earns ₹3000 in 10 days. How much will she earn in 30 days?
Solutions:
Money earned by Ekta in 10 days = ₹ 3000
Money earned in one day by her = \(3000 \over 10\) = ₹ 300
So, money earned by her in 30 days = 300 × 30
= ₹ 9000
3. If it has rained 276 mm in the last 3 days, how many cm of rain will fall in one
full week (7 days)? Assume that the rain continues to fall at the same rate.
Solutions:
Measure of rain in 3 days = 276 mm
Measure of rain in one day = 276 / 3
= 92 mm
So, measure of rain in one week, i.e. 7 days = 92 × 7
= 644 mm
= \(644 \over 10\) = 64.4 cm
4. Cost of 5 kg of wheat is ₹ 91.50.
(a) What will be the cost of 8 kg of wheat?
(b) What quantity of wheat can be purchased in ₹ 183?
Solutions:
(a) Cost of 5 kg wheat = ₹ 91.50.
Cost of 1 kg wheat = \(91.50 \over 5\) = ₹ 18.3
So, the cost of 8 kg wheat = 18.3 × 8
= ₹ 146.40
(b) Wheat purchased in ₹ 91.50 = 5 kg
Wheat purchased in ₹ 1 = \(5\over 91.50 \) kg
So, wheat purchased in ₹ 183 = \(({5 \over 91.50})\) × 183
= 10 kg
5. The temperature dropped 15 degree celsius in the last 30 days. If the rate of
temperature drop remains the same, how many degrees will the temperature
drop in the next ten days?
Solutions:
Temperature drop in 30 days = \(150^{\circ}C\)
Temperature drop in 1 day = \({15 \over 30} = (1 / 2)^{\circ} C\)
So, temperature drop in next 10 days = \({({1 \over 2})} × 10
= 50^{\circ} C\)
∴ The temperature drop in the next 10 days will be \(50^{\circ}C\)
6. Shaina pays ₹ 15000 as rent for 3 months. How much does she has to pay for a
whole year, if the rent per month remains same?
Solutions:
Rent paid by Shaina in 3 months = ₹ 15000
Rent for 1 month = \(15000 \over 3\) = ₹ 5000
So, rent for 12 months, i.e. 1 year = 5000 × 12
= ₹ 60,000
∴ Rent paid by Shaina in 1 year is ₹ 60,000
7. Cost of 4 dozen bananas is ₹ 180. How many bananas can be purchased for ₹ 90?
Solutions:
Number of bananas bought in ₹ 180 = 4 dozens
= 4 × 12
= 48 bananas
Number of bananas bought in ₹ 1 = \(48 \over 180 \)
So, number of bananas bought in ₹ \(90 = ({48 \over 180}) × 90
= 24\) bananas
∴ 24 bananas can be purchased for ₹ 90
8. The weight of 72 books is 9 kg. What is the weight of 40 such books?
Solutions:
Weight of 72 books = 9 kg
Weight of 1 book = \({9 \over 72} = {1 \over 8}\) kg
So, weight of 40 books = \(({1 \over 8}) × 40
= 5\) kg
∴ Weight of 40 books is 5 kg
9. A truck requires 108 litres of diesel for covering a distance of 594 km. How
much diesel will be required by the truck to cover a distance of 1650 km?
Solutions:
Diesel required for 594 km = 108 litres
Diesel required for 1 km = \({108 \over 594} = {2 \over 11}\) litre
So, diesel required for 1650 km = (\({2 \over 11}\)) × 1650
= 300 litres
∴ Diesel required by the truck to cover a distance of 1650 km is 300 litres
10. Raju purchases 10 pens for ₹ 150 and Manish buys 7 pens for ₹ 84. Can you say
who got the pens cheaper?
Solutions:
Pens purchased by Raju for ₹ 150 = 10 pens
Cost of 1 pen = \(= {150 \over 10}\) = ₹ 15
Pens purchased by Manish for ₹ 84 = 7 pens
Cost of 1 pen \(= {84 \over 7} \) = ₹ 12
∴ Pens purchased by Manish are cheaper than Raju
11. Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made
more runs per over?
Solutions:
Runs made by Anish in 6 overs = 42
Runs made by Anish in 1 over \(= {42 \over 6} = 7\)
Runs made by Anup in 7 overs = 63
Runs made by Anup in 1 over \(= {63 \over 7} = 9\)
∴ Anup scored more runs than Anish.
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