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Q.

Niya 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. The total number of chocolates purchased will be ____.


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Detailed Solution

Niya 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. The total number of chocolates purchased will be 100.
Calculating the total number of chocolates,
Let the number of purchased chocolates be x .
So, the total cost of chocolates = Rs.10x
And, the total cost of candies=Rs.5x
Profit on chocolates is 20 100 ×10x= Rs.2x.
And, profit on candles is 8 100 ×5x=Rs   0.4x Thus, the total profit is 2x+0.4x= Rs.2.4x
As per the question,
2.4x=240 x=100 Hence, she purchased 100 chocolates
Therefore, 100 is the correct answer.
 
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