Question

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​

Answer 1

Given :

Profits percentage of an article.

To Find :

Cost price of Arun and Cost price of Bala.

Solution :

Let the cost price of the article to Arun = a

Arun sells the article at 20% profit to Bala.

Now the cost price to Bala = a + 20% × a

                                             = a + 0.20a

                                            = 1.20a

Bala sells it to Catherine at 10% profit.

Cost price to Catherine = 1.20a + (10% × 1.20a)

                                       = 1.20a + 0.12a)

                                       = 1.32a

Catherine sells it to Dinesh at Rs. 16 profit.

Cost price to Dinesh = (1.32a + 16)

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

Cost price of Dinesh - Cost price of Arun = 500

(1.32a + 16) - a = 500

0.32a + 16 = 500

0.32a = 500 - 16

0.32a = 484

$a=\frac{484}{0.32}$

a = 1512.50

Cost price of Bala  = 1512.50 + (20% × 1512.50)

                               = 1512.50 + (0.20 × 1512.50)

                               = 1512.50 + 302.50

                               = 1815.00 Rs.

Cost price of Arun was Rs. 1512.50 and Bala pays Rs.1815.00 to Arun.