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Question
Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.
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Solution
Let Kusum purchased x chocolates.
Then, total cost of chocolates = ₹ 10x
Similarly, she purchased x candies.
Then, total cost of candies = ₹ 5x
According to the question,
Profit on chocolates = 20% of 10x
= `20/100 xx 10x`
= ₹ 2x
And profit on candies = 8% of 5x
= `8/100 xx 5x`
= ₹ 0.4x
∴ Total profit = 2x + 0.4x = ₹ 2.4x
But it is given that total profit is ₹ 240.
Again, according to the question,
2.4x = 240
⇒ x = `240/2.4` = 100
Hence, she purchased 100 chocolates.
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