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Mathematics · 2024 · 4 marks
CBSE 2024 · Region 5 · Set 1 · Q36
Essel World is one of India's largest amusement parks that offers a diverse range of thrilling rides, water attractions and entertainment options for…
Essel World is one of India's largest amusement parks that offers a diverse range of thrilling rides, water attractions and entertainment options for visitors of all ages. The park is known for its iconic "Water Kingdom" section, making it a popular destination for family outings and fun-filled adventure. The ticket charges for the park are ₹ $\displaystyle 150$ per child and ₹ $\displaystyle 250$ per adult.
On a day, the cashier of the park found that $\displaystyle 300$ tickets were sold and an amount of ₹ $\displaystyle 55{,}000$ was collected. Based on the above, answer the following questions :
(i)
If the number of children visited be x and the number of adults visited be y , then write the given situation algebraically.
(ii)
(a)
How many children visited the amusement park that day ?
OR
(b)
How many adults visited the amusement park that day ?
(iii)
How much amount will be collected if $\displaystyle 250$ children and $\displaystyle 100$ adults visit the amusement park ?
Marking-scheme solution
i) \(\displaystyle \mathrm{x}+\mathrm{y}=300 \ldots \ldots\) (i) \(\displaystyle 150 \mathrm{x}+250 \mathrm{y}=55000 \ldots \ldots \ldots . \ldots\) (ii)
(ii) (a) Solving equation (i) and (ii) Number of children visited park \(\displaystyle (x)=200\) OR
(b) Solving equation (i) and (ii) Number of adults visited park (y) = $\displaystyle 100$
(iii) Amount collected \(\displaystyle =250 \times 150+100 \times 250=₹ 62500\)
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.