Question

A retailer buys an article from wholesaler at a discount. The retailer sells it at Rupees 4340 inclusive of GST at the rate of 12% on the listed price. If he makes a profit of 25% by selling it, find the rate of discount the retailer received from the wholesaler.

Answer 1

The rate of discount the retailer received from the wholesaler is 20%.

Step-by-step explanation:

Given:

A retailer buys an article from wholesaler at a discount.

The retailer sells it at Rupees 4340 inclusive of GST at the rate of 12% on the listed price.

If he makes a profit of 25% by selling it.

Now, to find the rate of discount the retailer received from the wholesaler.

Let the list price be $x.$

The retailer sells it inclusive of GST at = Rs 4340

GST rate = 12%.

So, to get the list price:

$x+12\%\ of\ x=4340$

$x+\frac{12x}{100}=4340$

$\frac{100x+12x}{100} =4340$

$\frac{112x}{100} =4340$

$x=4340\times \frac{100}{112}$

$x=3875.$

Thus, the list price = Rs 3875.

Now, to get the cost price we put formula:

List price = (1 + Profit%) × cost price

$3875=(1+\frac{25}{100} )\times cost\ price\\\\3875=(\frac{100+25}{100} )\times cost\ price\\\\3875=\frac{125}{100} \times cost\ price\\\\3875\times \frac{100}{125} = cost\ price\\\\3100=cost\ price$

Cost price = Rs 3100.

So, we get the discount on article:

List price - Cost price

$=3875-3100$

$=775.$

Now, to get the discount rate:

$\frac{Discount}{List\ price} \times 100$

$=\frac{775}{3875} \times 100$

$=0.2\times 100=20\%.$

Therefore, the rate of discount the retailer received from the wholesaler is 20%.

Answer 2

Answer:

Rate

of Discount is 25 % by TANDAN SHARMA