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.

Answer 1

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.