Question

41. A manufacturer marks his goods at 30% above the
cost price. He allows a discount of 10% for cash
customers and 15% for credit customers. 2/5 of the
goods are sold for cash and the rest on credit. What
is the percentage of profit or loss, when all the goods
are sold?
A. 7.5% Profit
B. 13.1% Profit
C. 6.3% Loss
D. 8% Loss​

Answer 1

Answer:

Option B i.e 13.1% profit

Step-by-step explanation:

Consider that the Cost price is X.

He is listing his goods at 30% profit to cost.

Therefore the listing price of good will be 1.3 X

Now he is giving discount of 10% on this listing price for 2/5 of the products.

Therefore selling price = 90% of 1.3 X * 2/5 = 90/100*1.3*X * 2/5 = 0.468 X

Also he is giving discount of 15% on this listing price for 3/5 of the products.

Therefore selling price = 85% of 1.3 X * 3/5 = 85/100*1.3*X * 3/5 = 0.663 X

Thus the gain percentage is 0.468 X + 0.663 X - X = 0.131 X which is 13.1 %

Answer 2

The percentage of profit, when the goods  sold are 13.1 % profit .

Step-by-step explanation:

Given:

A manufacturer marks his goods at 30% above the cost price. He allows a discount of 10% for cash  customers and 15% for credit customers. 2/5 of the goods are sold for cash and the rest on credit.  

To find:

What is the percentage of profit or loss, when all the goods are sold?

Solution:

Let the number of items in the goods be 10 and the cost price of one item is 10 rupees.  

With 30% above the cost price the price of each item will be 13 rupees.  

$\frac{2}{5}$ of goods, 4 items are sold for cash customers at 10% discount,  (i.e) 13 – 1.3 = 11.7 each

Rest $\frac{3}{5}$ for credit customers at 15% discount, (i.e) 13 – 1.95 = 11.05 each

Total sale = (11.7 $\times$ 4) + (11.05 $\times$ 6) = 113.1 rupees.

Cost price = 10 $\times$ 10 = 100

Profit = 113.1 -100 = 13.1 rupees = 13.1 % profit

To know more:

If cost of 11 shirts is equal to the selling price of 10 shirts, Find the percentage profit or loss

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