Question

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

Answer 1

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 2

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