## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.6

Question 1.

In a bag, there are 20 kg of fruits. If 7\(\frac { 1 }{ 6 }\) kg of these fruits be oranges and 8\(\frac { 2 }{ 3 }\) kg of thee are apples and rest are grapes. Find the mass of the grapes in the bag.

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Question 2.

The population of a city is 6,63,432. If \(\frac { 1 }{ 2 }\) of the population are adult males and \(\frac { 1 }{ 3 }\) of the population are adult females, then find the number of children in the city.

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Question 3.

In an election of housing society, there are 30 voters. Each of them gives the vote. Three persons X, Y and Z are standing for the post of Secretary. If Mr X got \(\frac { 2 }{ 5 }\) of the total votes and Mr Z got \(\frac { 1 }{ 3 }\) of the total votes, then find the number of votes which Mr Y got.

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Question 4.

A person earns ₹ 100 in a day. If he spent ₹ 14\(\frac { 2 }{ 7 }\) on food and ₹ 30\(\frac { 2 }{ 3 }\) on petrol. How much did he save on that day?

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Question 5.

In an examination, 400 students appeared. If \(\frac { 2 }{ 3 }\) of the boys and all 130 girls passed in the examination, then find how many boys failed in an examination?

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Question 6.

A car is moving at the speed of 40\(\frac { 2 }{ 3 }\) km/h. Find how much distance will it cover in \(\frac { 9 }{ 10 }\) hrs?

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Question 7.

Find the area of a square lawn whose one side is 5\(\frac { 7 }{ 9 }\) m long.

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Question 8.

Perimeter of a rectangle is 15\(\frac { 3 }{ 7 }\) m. If the length is 4\(\frac { 2 }{ 7 }\) m, find its breadth.

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Question 9.

Rahul had a rope of 325\(\frac { 4 }{ 5 }\) m long. He cut off a 150\(\frac { 3 }{ 5 }\) m long piece, then he divided the rest of the rope into 3 parts of equal length. Find the length of each part.

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Question 10.

If 3\(\frac { 1 }{ 2 }\) litre of petrol costs ₹ 270\(\frac { 3 }{ 8 }\), then find the cost of 4 litre of petrol.

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Question 11.

Ramesh earns ₹ 40,000 per month. He spends \(\frac { 3 }{ 8 }\) of the income on food, \(\frac { 1 }{ 5 }\) of the remaining on LIC premium and then \(\frac { 1 }{ 2 }\) of the remaining on other expenses. Find how much money is left with him?

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Question 12.

A, B, C, D and E went to a restaurant for dinner. A paid \(\frac { 1 }{ 2 }\) of the bill, B paid \(\frac { 1 }{ 5 }\) of the bill and rest of the bill was shared equally by C, D and E. What fraction of the bill was paid by each?

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Question 13.

\(\frac { 2 }{ 5 }\) of total number of students of a school come by car while \(\frac { 1 }{ 4 }\) of students come by bus to school. All the other students walk to school of which \(\frac { 1 }{ 3 }\) walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in the school?

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Question 14.

A mother and her two sons got a room constructed for ₹ 60,000. The elder son contributes \(\frac { 3 }{ 8 }\) of his mother’s contribution while the younger son contributes \(\frac { 1 }{ 2 }\) of his mother’s share. How much do the three contribute individually?

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Question 15.

In a class of 56 students, the number of boys is \(\frac { 2 }{ 5 }\) th of the number of girls. Find the number of boys and girls.

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Question 16.

A man donated \(\frac { 1 }{ 10 }\) of his money to a school, \(\frac { 1 }{ 6 }\) th of the remaining to a church and the remaining money he distributed equally among his three children. If each child gets ₹ 50000, how much money did the man originally have?

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Question 17.

If \(\frac { 1 }{ 4 }\) of a number is added to \(\frac { 1 }{ 3 }\) of that number, the result is 15 greater than half of that number. Find the number.

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Question 18.

A student was asked to multiply a given number by \(\frac { 4 }{ 5 }\). By mistake, he divided the given number by \(\frac { 4 }{ 5 }\). His answer was 36 more than the correct answer. What was the given number?

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