Arun sells an article at 20% profit to Bala, Bala sells it to Catherine at 10% profit. Catherine sells it to Dinesh at Rs. 16 profit. The difference between the cost price of Dinesh and cost price of Arun was Rs. 500. How much did Bala pay to Arun for the article?a)Rs.1350b)Rs.1815c)Rs.1650d)Rs.1750e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Cost Price of Arun = 100x
Cost Price of Bala = 120x
Cost Price of Catherine = 132x
Cost Price of Dinesh = 132x + 16
132x + 16 – 100x = 500
32x + 16 = 500
32x = 484
x = 484/32 = 15.125
Cost Price of Bala =120x = 120 * 15.125 = 1815

Answer

'use of successive percentage'

Let article cost is 100x...,,

100x -> 120x -> 132x -> (132+16)
Arun. Bala. Catherine Dinesh

The difference between the cost price of Dinesh and cost price of Arun was Rs. 500

So, (132x+16) - 100x = 500

X= 121/8

Bala pay to Arun for the article is

120x => 120* 121/8 => 1815

Answer

To solve this problem, let's break it down step by step:

1. Let's assume the cost price of the article for Arun is 'x' rupees.

2. Arun sells the article to Bala at a 20% profit. This means Bala pays 120% of the cost price to Arun.

- Selling price to Bala = Cost price + 20% profit
- Selling price to Bala = x + (20/100) * x
- Selling price to Bala = 1.2x

3. Bala sells the article to Catherine at a 10% profit. This means Catherine pays 110% of the cost price to Bala.

- Selling price to Catherine = Cost price + 10% profit
- Selling price to Catherine = 1.1 * (1.2x) = 1.32x

4. Catherine sells the article to Dinesh at a profit of Rs. 16. This means Dinesh pays the cost price plus Rs. 16 to Catherine.

- Selling price to Dinesh = Cost price + Rs. 16
- 1.32x = x + 16
- 0.32x = 16
- x = 16 / 0.32
- x = 50

5. We know that the difference between the cost price of Dinesh and the cost price of Arun is Rs. 500.

- Cost price of Dinesh - Cost price of Arun = Rs. 500
- 50 - Arun's cost price = 500
- Arun's cost price = 50 - 500
- Arun's cost price = -450

Since Arun's cost price cannot be negative, there must be a mistake in the given information.

Therefore, the given information is not consistent or accurate, and we cannot determine how much Bala paid to Arun for the article.

Answer

Cost Price of Arun = 100x
Cost Price of Bala = 120x
Cost Price of Catherine = 132x
Cost Price of Dinesh = 132x + 16
132x + 16 – 100x = 500
32x + 16 = 500
32x = 484
x = 484/32 = 15.125
Cost Price of Bala =120x = 120 * 15.125 = 1815

Answer

B

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