Question

2) The marked price of an item is Rs 1,500 and 10% discount is given to make 20%,
profit. By what percent is the discount to be increased to get only 12% profit?
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TAYT
FO

Answer 1

Answer:

The discount needs to be increased by only 4℅ to get only 12℅ profit out of the whole transaction.

Step-by-step explanation:

Initially,

Marked price( M.P) = Rs. 1500

Discount = 10℅

So, the discount is = 10℅ of 1500 = Rs. 150

So, the selling price (S.P) becomes = M.P- Discount = Rs. 1350

Profit = 20℅

Therefore, 120℅ of cost price( C.P) = 1350

So, C.P = Rs. 1125

Second case,

Profit= 12℅

So the selling price is= 112℅ of 1125 = Rs. 1260

Now, the new discount becomes = Rs 1500- 1260 = Rs. 240

So, the new discount ℅ = (240/1500) × 100 = 16℅

Hence, discount percent has to be increased by 4.

Answer 2

Answer:

Step-by-step explanation:

Our question is: 2) The marked price of an item is Rs 1,500 and 10% discount is given to make 20%,  profit. By what percent is the discount to be increased to get only 12% profit?

We know that the marked price is equal to Rs.1500. Lets consider m to be the market price.

We also know that it is given a discount, d, equal to 10%.

Thus a discount of 10% in 1500 is a discount of Rs.150.

Let s be the selling price.

Then s is equal to m - d, that is:

  1500 - 150 = Rs.1350

Our profit is equal to 20%, hence 120% of the cost price is equal to 1350, that is the same as saying that the cost price is equal to Rs.1125.

In the case that the profit is equal to 12%, the selling price is 112% of 1125, which is equal to Rs.1260

Hence the new discount becomes Rs.240.

So, the new discount is equal to (240/1500) × 100 = 16℅

16 - 12 = 4

Hence, discount percent has to be increased by 4.

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