A shop-keeper sells onions at Rs 24, Rs 30 and Rs 42 a kilogram, selling the different kinds in quantities proportional to 1: 1: 3. If the total quantity sold be 60 kg, the average price obtained for each kg is:

amount sold of each kind : x , x, and 3x

total cost = x(24) + x(30) + 3x(42) = 180x
avg cost = 180x/(5x) = 36

thanku mam

To find the average price obtained for each kilogram, we need to calculate the weighted average of the prices.

Given that the quantities sold are proportional to 1:1:3 and the total quantity sold is 60 kg, we can determine the quantities as follows:

Quantity of the first kind of onion = 1/5 * 60 kg = 12 kg
Quantity of the second kind of onion = 1/5 * 60 kg = 12 kg
Quantity of the third kind of onion = 3/5 * 60 kg = 36 kg

Now, let's calculate the total cost for each type of onion:

Total cost of the first kind of onion = 12 kg * Rs 24/kg = Rs 288
Total cost of the second kind of onion = 12 kg * Rs 30/kg = Rs 360
Total cost of the third kind of onion = 36 kg * Rs 42/kg = Rs 1,512

Next, let's calculate the total cost for all the onions:

Total cost = Rs 288 + Rs 360 + Rs 1,512 = Rs 2,160

Finally, let's calculate the average price obtained for each kilogram:

Average price = Total cost / Total quantity sold = Rs 2,160 / 60 kg = Rs 36/kg

Therefore, the average price obtained for each kilogram is Rs 36.

To find the average price per kilogram, we need to calculate the weighted average.

The quantities of each type of onions sold are in the ratio 1:1:3.

Let's assume the quantities sold to be x, x, and 3x respectively.

Now, let's calculate the total cost.

For the first type of onions priced at Rs 24/kg, the cost would be 24x.

For the second type of onions priced at Rs 30/kg, the cost would be 30x.

For the third type of onions priced at Rs 42/kg, the cost would be 42 * 3x = 126x.

The total cost of all the onions sold would be 24x + 30x + 126x = 180x.

Given that the total quantity sold is 60 kg, we can write the equation:

x + x + 3x = 60
5x = 60
x = 12

Now let's calculate the weighted average.

Total cost of all onions = 180x = 180 * 12 = 2160

Total quantity sold = 60 kg

Average price per kilogram = Total cost of all onions / Total quantity sold
= 2160 / 60
= Rs 36

Therefore, the average price obtained for each kilogram of onions is Rs 36.