Suraj sold drone at Rs. 6300 to sahoo and incurred a loss of 10%. Sahoo sold the same at 15% profit to parth, parth gained 20% profit when he sold the drone to manish. What is the difference between cost price of drone for manish and suraj?
Suraj sold drone at Rs. 6300 to sahoo and incurred a loss of 10%. Sahoo sold the same at 15% profit to parth, parth gained 20% profit when he sold the drone to manish. What is the difference between cost price of drone for manish and suraj? Correct Answer Rs. 1694
Given:
Suraj to sahoo = 10%
Sahoo to parth = 15%
Parth to manish = 20%
S.P. of drone for suraj = Rs. 6300
Formula:
S.P. = C.P. (1 + (profit%/100))
Profit% = ((S.P. – C.P.)/ C.P.) × 100
S.P. = C.P. (1 – (loss %/ 100))
Loss % = ((C.P. – S.P.)/ C.P.) × 100
Calculation:
Cost price of drone for suraj - loss = Selling price of drone for suraj
⇒ C.P. – (0.10 × C.P.) = 6300
⇒ 0.90 × C.P. = 6300
⇒ C.P. = 7000
Let, C.P. for sahoo be X
⇒ S.P. for sahoo = X × (1 + 0.15)
⇒ S.P. for sahoo = 1.15 × X
⇒ S.P. for sahoo = C.P. for parth
⇒ S.P. for parth = 1.15 × X × 1.20
⇒ S.P. for parth = C.P. for manish
⇒ here X = 6300
⇒ C.P. for manish = 6300 × 1.15 × 6/ 5
⇒ C.P. for manish = 8694
Required difference = 8694 – 7000
∴ required difference is Rs. 1694