Question

Anjali bought books for rupees 800.he sold one forth of it at a gain of 20℅ and half of it at a loss of 10℅ of what profit percent she should sell the books on 8℅ of the whole transaction.

Answer 1

$\textbf {Hey there, here is the solution.}$

Total cost of the book = Rs 800 (Given)

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STEP 1: Find the revenue from the one that were sold at a gain of 20%:

Cost Price = 1/4 x 800 = 200

20% profit = 0.2 x 200 = Rs 40

Revenue = 200 + 40 = Rs 240

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STEP 2: Find the revenue of the ones that were sold at a loss of 10%:

Cost Price = 1/2 x 800 = 400

10% Loss = 10% x 400 = 0.1 x 400 = Rs 40

Revenue = 400 - 40 = Rs 360

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STEP 3: Find the expected revenue:

8% Profit = 8% x 800 = 0.08 x 800 = Rs 64

Expected Revenue = 800 + 64 = Rs 864

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STEP 4: Find the expected profit percentage:

Expected Revenue = 864 - 240 - 360 = Rs 264

.

Fraction of the remaining books =1 - 1/2 - 1/4 = 1/4

Cost Price of the remaining books = 1/4 x 800 = Rs 200

,

Expected profit = 264 - 200 = Rs 64

Profit Percentage = 64/200 x 100 = 32%

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Answer: Anjali needs to be sell the remaining of the books with 32% profit.

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$\textbf {Cheers}$

Answer 2

Here is your answer :-

✔ Anjali bought books for = Rs 800 ( given )


✔ ATQ ,

STEP (1) ,

➡ 1/4th of 800 = Rs 200

➡ 20% of 200 = Rs 40

➡ Total revenue = 200+40 = Rs 240.

STEP (2) ,

➡ half of 800 = 1/2× 800 = Rs 40

➡10% of 400 = Rs 40

➡Total Revenue = 400 - 40 = Rs 360

STEP (3) ,

➡ 8% Profit = 8% x 800 = 0.08 x 800 = Rs 64

➡ Expected Revenue = 800 + 64 = Rs 864.

STEP (4) ,

➡ Expected Revenue = 864 - 240 - 360 = Rs 464

➡Fraction of the remaining books =1 - 1/2 - 1/4 = 1/4

➡ Cost Price of the remaining books = 1/4 x 800 = Rs 200

➡ Expected profit = 264 - 200 = Rs.64

➡ Profit Percentage = 64/200 x 100 = 32%

So the answer is 32 % .

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