Mr a sells a bicycle to Mr b at a profit of 20% and Mr b sales it to Mr c at a profit of 25%. if Mr c pays Rs 1500 then what did Mr a pay for it
Answers
Initial Price of Bicycle
Answer: Amount paid by Mr a for bicycle is Rs 1000.
Explanation:
Given that
Mr a sell a bicycle to Mr b at a profit of 20%.
Mr b sells same bicycle to mr c at a profit of 25%
Amount paid by Mr c is Rs 1500
Need to determine amount paid by Mr a for bicycle .
lets assume amount paid by Mr a for the bicycle = Rs x
so amount paid by Mr b = amount paid by Mr a + profit of 20%
⇒ amount paid by Mr b = amount paid by Mr a + 20% of amount paid by Mr a
⇒ amount paid by Mr b = x + 20% 0f x = x + 20x/100 = 120x/100
amount paid by Mr c = amount paid by Mr b + profit of 25%
⇒ amount paid by Mr c = amount paid by Mr b + 25% of amount paid by Mr b
⇒ amount paid by Mr c =( 120x/100 ) + 25% 0f ( 120x/100 )
= ( 120x/100 ) + (25/100) ( 120x/100 )
= ( 120x/100 ) ( 1 + 25/100) [ taking ( 20x/100) out of bracket ]
⇒ amount paid by Mr c = ( 120x/100 ) × ( 125/100)
⇒ amount paid by Mr c = (120 × 125 × x ) / (100 × 100 )
⇒ amount paid by Mr c = 15x/10
⇒ amount paid by Mr c = 3x/2
but its given that amount paid by Mr c = Rs 1500
⇒ 3x/2 = 1500
⇒ 3x = 1500 × 2
⇒ x = 3000/3 = 1000
Hence amount paid by Mr a for bicycle = x = Rs 1000.
#answerwithquality
#BAL