Question

Some chocolates are bought at the rate of 11 for 10 Rs and the same number at the rate of 9 for 10 Rs. If the whole lot is sold at one rupee per chocolate, find the gain or loss percent on the whole dealing. ( Hint: let the number of chocolates bought be LCM of 11 and 9.)

Answer 1

plz refer to the Image....

Answer 2

The loss percent of overall dealing is 1 %

Solution:

Given that let the number of chocolates bought be LCM of 11 and 9

L.C.M of 11 and 9:

List all prime factors for each number

Prime Factorization of 9 is:

$9 = 3 \times 3$

Prime Factorization of 11 is:

$\text{prime factor of 11} = 11$

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

3, 3, 11

Multiply these factors together to find the LCM.

LCM = 3 x 3 x 11 = 99

So the total number of chocolates bought = 99 + 99 = 198

Given that whole lot is sold at one rupee per chocolate

So, Selling price of 1 chocolate = Rs 1

Therefore, S.P of 198 chocolates = 1 x 198 = Rs 198

Given that Some chocolates are bought at the rate of 11 for 10 Rs

So cost price of 99 chocolate at rate of 11 of Rs 10

$\rightarrow \frac{99}{11} \times 10 = \text{Rs } 90$

Given that same number at the rate of 9 for 10 Rs

So cost price of 99 chocolate at rate of 9 of Rs 11

$\rightarrow \frac{99}{9} \times 10 = \text{ Rs } 110$

Therefore C.P of all 198 chocolates = Rs 90 + Rs 110 = Rs 200

On comparing cost price and selling price, we get

cost price > selling price , which denotes loss

Let us calculate the loss

Loss = Cost price - selling price

Loss = Rs 200 - Rs 198 = Rs 2

Therefore loss = 2

$\text{ loss } \% = \frac{loss}{Cost price} \times 100$

$\text{ loss } \% = \frac{2}{200} \times 100\\\\\text{ loss } \% = 1$

Therefore loss percent is 1 %

Learn more about loss percent

The loss percent on selling 140 geometry boxes when the loss is equals to SP of 10 geometry boxes is?

https://brainly.in/question/7609542

Heena lost ₹15 by selling a saree for ₹500. find the loss percent

https://brainly.in/question/6017468