Sample QuestionsLinear Equations questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Two complementary angles differ by $14^\circ .$ Find the angles.
View full solution →Find two consecutive even numbers, whose sum is $38.$
View full solution →A number is as much greater than $21$ as it is less than $71.$ Find the number.
View full solution →Solve the following equations for the unknown$: \sqrt{x-5}=3$
View full solution →Solve the following equations for the unknown$: 3(3x - 4) -2(4x - 5) = 6$
View full solution →In a factory male workers are paid one and a half times more than their female counterparts for each hour of work. In a particular week a husband and wife team worked for a total of $60$ hours with the husband working twice as much as his wife. The total amount earned by both is $Rs. 960.$ If the husband's earning is $4$ times that of his wife, find the number of hours each worked.
View full solution →What number decreased by $18\%$ of itself gives $1599$?
View full solution →What number decreased by $12\%$ of itself gives $1584$ ?
View full solution →What number increased by $15\%$ of itself gives $2921$?
View full solution →What number increased by $8\%$ of itself gives $1620$?
View full solution →In a shooting competition a marks man receives $50$ paise if he hits the mark and pays $20$ paise if he misses it. He tried $100$ shots and was paid $Rs. 29$. How many times did he hit the mark?
View full solution →A boy played $100$ games, gaining $Rs. 50 $ on each game that he won, and losing $Rs. 20$ for each game that he lost. If on the whole he gained $Rs. 800$, find the number of games that he won.
View full solution →A worker is employed on the condition that he will be paid $Rs. 60$ for each day that he works and fined $Rs. 20$ for each day that he remains absent. If he is paid $Rs. 1000$ for the month of September, find the number of days that he worked.
View full solution →In a factory a worker is paid $Rs. 20$ per hour for normal work and double the rate for overtime work. If he worked for $56$ hours in a week, find the number of hours of his normal work if he receives $Rs. 1440$ in all.
View full solution →A man leaves half his property to his wife, one$-$third to his son and the remaining to his daughter. If the daughter's share is $Rs. 15000$, how much money did the man leave? How much money did his wife get?
View full solution →In an election there were two candidates. A total of $9791$ votes were polled. $116$ votes were declared invalid. The successful candidate got $5$ votes for every $4$ votes his opponent had. By what margin did the successful candidate win?
View full solution →A $700\ g$ dry fruit pack costs $Rs. 72$. It contains some cashew kernels and the rest as dry grapes. If cashew kernels cost $Rs. 96$ per $kg$ and dry grapes costs $Rs. 112$ per $kg$, what were the quantities of the two dry fruits separately.
View full solution →A man buys two articles at $Rs.410.$ He sells both at the same price. On one he makes a profit of $15\%$ and on the other a loss of $10\%.$ Find the cost price of both.
View full solution →A man sells an article and makes a profit of $6\%$. Had he bought the article at a price $4\%$ less and sold at a price higher by $Rs 7.60$, he would have made a profit of $12\%$. Find his cost price.
View full solution →In a class there are a certain number of seats. If each student occupies one seat, $9$ students remain standing and if $2$ students occupy one seat, $7$ seats are left empty. Find the number of seats in the class.
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