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Practice each question, then open the answer or worked solution.
If the cost of 7 m of cloth is ₹ 1470, find the cost of 5 m of cloth.
Given
Cost of 7 m cloth = ₹ 1470
Cost of 1 m cloth = 1470 / 7
= ₹ 210
So, cost of 5 cloth = 210 × 5 = 1050
∴ The cost of 5 m cloth is ₹ 1050.
Ekta earns ₹ 3000 in 10 days. How much will she earn in 30 days?
Money earned by Ekta in 10 days = ₹ 3000
Money earned by her in one day = 3000 / 10
= ₹ 300
So, money earned by her in 30 days = 300 × 30
= ₹ 9000.
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.
The measure of rain in 3 days = 276 mm
The measure of rain in one day = 276 / 3
= 92 mm
So, the measure of rain in one week, i.e. 7 days = 92 × 7
= 644 mm
= 644 / 10
= 64.4 cm
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 for ₹ 183?
(a) Cost of 5 kg wheat = ₹ 91.50.
Cost of 1 kg wheat = 91.50 / 5
= ₹ 18.3
So, the cost of 8 kg wheat = 18.3 × 8
= ₹ 146.40
(b) Wheat purchased for ₹ 91.50 = 5 kg
Wheat purchased for ₹ 1 = 5 / 91.50 kg
So, wheat purchased for ₹ 183 = (5 / 91.50) × 183
= 10 kg
The temperature dropped 150 C 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?
Temperature drop in 30 days = 150 C
Temperature drop in 1 day = 15 / 30
= (1 / 2)0 C
So, the temperature drop in next 10 days = (1 / 2) × 10
= 50 C
∴ The temperature drop in the next 10 days will be 50 C
Shaina pays ₹ 15000 as rent for 3 months. How much does she have to pay for a whole year if the rent per month remains the same?
Rent paid by Shaina in 3 months = ₹ 15000
Rent for 1 month = 15000 / 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
Cost of 4 dozen bananas is ₹ 180. How many bananas can be purchased for ₹ 90?
Number of bananas bought for ₹ 180 = 4 dozens
= 4 × 12
= 48 bananas
Number of bananas bought for ₹ 1 = 48 / 180
So, number of bananas bought for ₹ 90 = (48 / 180) × 90
= 24 bananas
∴ 24 bananas can be purchased for ₹ 90
The weight of 72 books is 9 kg. What is the weight of 40 such books?
Weight of 72 books = 9 kg
Weight of 1 book = 9 / 72
= 1 / 8 kg
So, weight of 40 books = (1 / 8) × 40
= 5 kg
∴ The weight of 40 books is 5 kg.
A truck requires 108 litres of diesel to cover a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?
Diesel required for 594 km = 108 litres
Diesel required for 1 km = 108 / 594
= 2 / 11 litre
So, diesel required for 1650 km = (2 / 11) × 1650
= 300 litres
∴ The diesel required by the truck to cover a distance of 1650 km is 300 litres.
Raju purchases 10 pens for ₹ 150, and Manish buys 7 pens for ₹ 84. Can you say who got the pens cheaper?
Pens purchased by Raju for ₹ 150 = 10 pens
Cost of 1 pen = 150 / 10
= ₹ 15
Pens purchased by Manish for ₹ 84 = 7 pens
Cost of 1 pen = 84 / 7
= ₹ 12
∴ Pens purchased by Manish are cheaper than those of Raju.