If toffees are bought at the rate of 7 for Rs. 6, at what rate per hundred must they be sold to gain 33%?114115118120None

First, let's find out the cost price of 1 toffee. If 7 toffees are bought for Rs. 6, then 1 toffee is bought for Rs. 6/7.

Next, we need to calculate the selling price for 1 toffee to gain a profit of 33%. The formula to calculate the selling price is: Selling Price = Cost Price + (Profit% of Cost Price).

So, the selling price for 1 toffee = Rs. 6/7 + (33/100 * 6/7) = Rs. 6/7 + Rs. 2/7 = Rs. 8/7.

Now, we need to find out the selling price per hundred toffees. If 1 toffee is sold for Rs. 8/7, then 100 toffees will be sold for Rs. 8/7 * 100 = Rs. 114.29.

So, the toffees must be sold at the rate of approximately Rs. 114 per hundred to gain a profit of 33%. Therefore, the answer is None of the above.

To solve this problem, we first need to find out the cost price of 100 toffees.

Step 1: Find the cost price of 1 toffee The toffees are bought at the rate of 7 for Rs. 6. So, the cost of 1 toffee would be Rs. 6/7 = Rs. 0.857

Step 2: Find the cost price of 100 toffees If 1 toffee costs Rs. 0.857, then 100 toffees would cost 100 * Rs. 0.857 = Rs. 85.7

Step 3: Calculate the selling price for a 33% gain If we want a gain of 33%, then the selling price would be the cost price plus 33% of the cost price. So, the selling price would be Rs. 85.7 + 33/100 * Rs. 85.7 = Rs. 114

So, to gain a profit of 33%, the toffees must be sold at the rate of Rs. 114 per hundred.

Step 1: Find the cost price of 100 toffees

The cost price of 7 toffees is Rs. 6. Therefore, the cost price of 1 toffee is Rs. 6/7. So, the cost price of 100 toffees would be 100 * (6/7) = Rs. 85.71 (approximately).

Step 2: Calculate the selling price for a 33% gain

A 33% gain on the cost price means the selling price would be 133% of the cost price. So, the selling price of 100 toffees would be 133/100 * 85.71 = Rs. 114 (approximately).

So, to gain a 33% profit, the toffees must be sold at the rate of Rs. 114 per hundred.

First, let's find out the cost price of 100 toffees.

If 7 toffees cost Rs. 6, then 1 toffee costs Rs. 6/7.

So, the cost price of 100 toffees would be 100 * (6/7) = Rs. 85.71 (approximately)

Now, the question says that there should be a gain of 33%.

So, the selling price of 100 toffees should be 133% of the cost price.

Therefore, the selling price = 133/100 * 85.71 = Rs. 113.99 (approximately)

So, the toffees must be sold at the rate of approximately Rs. 114 per hundred to gain a profit of 33%.

Therefore, the answer is Rs. 114.

Step 1: Find the cost price of 1 toffee.

The toffees are bought at the rate of 7 for Rs. 6. So, the cost price of 1 toffee = Rs. 6/7 = Rs. 0.857

Step 2: Calculate the selling price of 1 toffee to gain 33%.

We know that, Gain% = (Selling Price - Cost Price)/Cost Price * 100

So, Selling Price = Gain% * Cost Price / 100 + Cost Price

Substituting the given values, Selling Price = 33 * 0.857 / 100 + 0.857 = Rs. 1.14

Step 3: Find the selling price per hundred toffees.

Since the selling price of 1 toffee is Rs. 1.14, the selling price per hundred toffees = 1.14 * 100 = Rs. 114

So, the toffees must be sold at the rate of Rs. 114 per hundred to gain 33%.