[4 marks sum]

Question 14 Marks

A fruitseller bought $x$ apples for ₹ $ 1200$.
(a) Write the cost price of each apple in terms of $x$.
(b) If 10 of the apples were rotten and he sold rest at ₹3 more than the cost price of each, write the selling price of $(x-10)$ apples.
(c) If he made a profit of ₹ $ 60$ in this transaction, form an equation in $x$ and solve it to evaluate $x$.

Answer

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Question 24 Marks

The hotel bill for a number of people for overnight stay is ₹ $ 14,400$. If there were 4 more people, the bill each person had to pay would have reduced by ₹ $ 600$. Find the number of people staying overnight.

Answer

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Question 34 Marks

An aeroplane travelled a distiance of 400 km at an average speed of $x km / h$. On the return journey the speed was increased by $40 km / h$. Write down an expression for the time taken for:
(a) the onward journey
(b) the return journey
If the return journey took 30 minutes less than the onward journey write an equation in $x$ and find the value of $x$.

Answer

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Question 44 Marks

The sum of the ages of Vivek and his younger brother Amit is 47 years. The product of their ages in years is 550 . Find their ages.

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Question 54 Marks

The difference of the squares of two natural numbers is 84 . The square of the larger number is 25 times the smaller number. Find the numbers.

Answer

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