A cycle was sold at a gain of 10% had it been sold for rupees 260 More,the gain would have been 14%.Find the cost prise of the cycle
Answers
Answer:
Let the CP be x Rs.
Gain=10%.
SP= x(1+10/100)=110x/100.
Gain=14%.
SP=x(1+14/100)= 114x/100.
As per the question,
114x/100 - 110x/100 = 260.
=>(114x-110x)/100=260.
=>4x/100=260.
=>x=260/4 ×100.
=>x=65×100
=>x=6500Rs
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Answer:
Rs 6500
Step-by-step explanation:
Let the original cost price be 'x'. It is sold at a gain of 10%, so
selling price = x(1 + r/100)
= x(1 + 10/100)
= (11x/10)
If it had been sold for 260Rs more, the gain would have been 14%:
CP = x ; SP = (11x/10) + 260 ; gain = 14%
Using, gain% = (SP - CP)/CP * 100%
⇒ 14% = ((11x/10)+260 - x)/x * 100%
⇒ 14x = (x/10 + 260) * 100
⇒ 14x = 10x + 26000
⇒ 14x - 10x = 26000
⇒ 4x =26000
⇒ x = 6500