A chocolate selling firm manufactures one chocolate for Rs. 20 and sells them in a box of chocolates at Rs. 960 per box such that each box contains 40 chocolates. If the firm now increases the quantity of chocolates per box by 15%, find the increase (in Rs.) in the selling price per box, so that the percent profit increases by 5 percent points.Correct answer is '190'. Can you explain this answer?

Question

Answer

Yaa it's 190 Explanation Selling price of 40 chocolate is 960 and it's cost price is 800 that shows that there is 20% profit now we have to increase quantity of chocolate by 15% and profit by 5% so new quantity would be 46 so its cost price would be 920 I.e 20 per chocolate as given and it's selling price would be 1150 because we need to add profit 25% of 920 cost price. Now the difference between new selling price 1150 and old selling price 960 is 190.

Answer

I feel the answer should be 250

Initially 40 chocolates = rs 800 Now 46 chocolates = rs 920

Initial profit 160/800 i.e. 20%

New profit = 25%

For 25% profit SP of 46 chocolates should be 1050 as 230/920 = 25 %

So I feel the answer sound be 250.

Answer

Increasing the quantity of chocolates per box by 15% means that each box will now contain 40 + (15% of 40) = 46 chocolates.

Let's assume that the cost of manufacturing one chocolate is still Rs. 20.

The cost of manufacturing 46 chocolates would be 46 * Rs. 20 = Rs. 920.

Now, let's calculate the selling price per box before the increase in quantity:

Profit per box = Selling price per box - Cost of manufacturing per box

We know that the selling price per box is Rs. 960 and the cost of manufacturing per box is Rs. 20 * 40 = Rs. 800.

Therefore, the profit per box before the increase is Rs. 960 - Rs. 800 = Rs. 160.

Let's calculate the new selling price per box after the increase in quantity:

New cost of manufacturing per box = Cost of manufacturing per chocolate * Number of chocolates per box
= Rs. 20 * 46 = Rs. 920

New profit per box = Selling price per box - New cost of manufacturing per box

We want the percent profit to increase by 5 percentage points. This means that the new profit per box should be 5% more than the old profit per box.

New profit per box = Old profit per box + (5% of Old profit per box)
= Rs. 160 + (5% of Rs. 160)
= Rs. 160 + (0.05 * Rs. 160)
= Rs. 160 + Rs. 8
= Rs. 168

Let's calculate the new selling price per box:

New selling price per box = New cost of manufacturing per box + New profit per box
= Rs. 920 + Rs. 168
= Rs. 1088

Finally, let's calculate the increase in the selling price per box:

Increase in selling price per box = New selling price per box - Old selling price per box
= Rs. 1088 - Rs. 960
= Rs. 128

Therefore, the increase in the selling price per box is Rs. 128.

However, the correct answer is given as Rs. 190. This suggests that there might be an error in the calculation or some additional information is missing.

Answer

1 chocolate for 20 rupees..40 chocolates for 800 rupee..
800 being our CP and 960 is SP ( 20% profit margin)

now selling 46 chocolates per box, Now CP 920, and SP should be 920 + 25%profit as they need 5% more profit..
so, after calculation SP is 1150..

so the increase in prices in SP is 190 (1150-960)

simple!!

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