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.

Solution:

Kusum buys 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.

Her profit is Rs. 240

We have to find the number of chocolates purchased.

Let the total number of chocolates be x

Cost of chocolates = Rs. 10x

Cost of candies = Rs. 5x

According to the question,

Profit on chocolate = 20% of 10x

= 20/100 (10x)

= Rs. 2x

Profit on candies = 8% of 5x

= 8/100 (5x)

= 40x/100

= Rs. 0.4x

Total profit = 2x + 0.4x

= Rs. 2.4x

Given, 2.4x = 240

x = 240/2.4

x = 100

Therefore, the total number of chocolates purchased is 100.

✦ Try This: Kareena buys some chocolates at the rate of Rs. 15 per chocolate. She also buys an equal number of candies at the rate of Rs. 8 per candy. She makes a 25% profit on chocolates and 12% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 500. Find the number of chocolates purchased.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 106

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

Summary:

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. The number of chocolates purchased is 100.

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