हिंदी

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. - Mathematics

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प्रश्न

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.

योग

उत्तर

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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अध्याय 4: Linear Equation In One Variable - Exercise [पृष्ठ १२०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 4 Linear Equation In One Variable
Exercise | Q 106. | पृष्ठ १२०

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