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Question
The cost of a chocolate is Rs (x + y) and Rohit bought (x + y) chocolates. Find the total amount paid by him in terms of x. If x = 10, find the amount paid by him.
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Solution
Given, cost of a chocolate = ₹ (x + 4)
Rohit bought (x + 4) chocolates
∴ The cost of (x + 4) chocolates = Cost of one chocolates × Number of chocolates
= (x + 4)(x + 4)
= (x + 4)2 ...[∵ (a + b)2 = a2 + 2ab + b2]
= x2 + 8x + 16
∴ The total amount paid by Rohit = ₹ (x2 + 8x + 16)
Now, If x = 10.
Then, the amount paid by Rohit = 102 + 8 × 10 + 16
= 100 + 80 + 16
= ₹ 196
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