Sanjay sold a bicycle at 8%profit had it been sold fir rate 75 more the would have been 14% find the cost price of the cycle
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Let cost price of cycle = Rs x .
Gain is 10% .
Selling price of the cycle = [ (100 + gain%) / 100] × x
= 110x / 100 = 11x / 10
If it is sold Rs . 65 more then S.P = 11x / 10 + 65 -----(1)
Gain = 14 %
Selling price = (100 + 14)x / 100 = 114x / 100 --------(2)
from (1) and (2) we get
⇒ 114x / 100 = 11x / 10 + 65
⇒ 114x / 100 - 110x / 100 = 65
⇒ (114x - 110x) / 100 = 65
⇒ 4x / 100 = 65
⇒ x = (65 × 100) / 4
⇒ x = Rs.1625
∴cost price of cycle = Rs 1625.
i hope help you
mark brainliest
Gain is 10% .
Selling price of the cycle = [ (100 + gain%) / 100] × x
= 110x / 100 = 11x / 10
If it is sold Rs . 65 more then S.P = 11x / 10 + 65 -----(1)
Gain = 14 %
Selling price = (100 + 14)x / 100 = 114x / 100 --------(2)
from (1) and (2) we get
⇒ 114x / 100 = 11x / 10 + 65
⇒ 114x / 100 - 110x / 100 = 65
⇒ (114x - 110x) / 100 = 65
⇒ 4x / 100 = 65
⇒ x = (65 × 100) / 4
⇒ x = Rs.1625
∴cost price of cycle = Rs 1625.
i hope help you
mark brainliest
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