Question

Arun service and 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

Answer:

₹1815

Step-by-step explanation:

let cost price for Arun be 100 units

so

he sells Bala at 20℅ profit

{ 20℅ of 100 = 20}

so c. p. for Bala = 100 + 20 = 120 units

similarly

Bala sells it to Catherine at 10℅ profit

{ 10℅ of 120 = 12}

so

c. p. for Catherine = 120 + 12 = 132 units

now

Catherine sold it to Dinesh at a profit of ₹ 16

so c. p. of Dinesh = 132 units + ₹16

& given that difference between c. p. of Arun and c. p. of Dinesh is ₹500

so we get

c. p. of Dinesh - c. p. of Arun = 500

=> 132 units + ₹16 - 100 units = ₹500

=> 132 units - 100 units = ₹500 - ₹16

=> 32 units = ₹484

=> 1 unit = ₹484/32 = ₹ 15.125

so

c. p. of Bala = 120 units

=> c. p. of Bala = 120 × 15.125 = ₹1815 (answer)