Question

monica 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

Step-by-step explanation:

Let, the total number of chocolates are x

According to question, the number of chocolates and the number of candies are same

now, the total cost price of chocolates @ Rs.10 per chocolate are ( 10×x) = 10x

In the same way, the total cost price of candies @ Rs.5 per candie are ( 5×x)= 5x

Now, the profit, 20% of 10x is ( 10x × 20/100) = ( 10x × 1/5) = 10x/5

and the profit, 8% of 5x is ( 5x × 8/100) = ( 5x × 2/25) = 10x/25

Now, as per the mention,

10x/5 + 10x/25 = 240

~ ( 50x + 10x) /25 = 240

~ 60x = ( 25×240)

~ x = ( 25×240)/60 = (5×240)/12 = 5×20=100

So, the number of chocolates are 100