Question

A cycle was sold at a gain of 10 % had it been sold for rupees 99 more the gain would have been 12% . Find the cost price of cycle

Answer 1

Answer:

Cost price of the cycle is Rs 4950

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 Rs 99 more, the gain would have been 12%:

CP = x   ;  SP = (11x/10) + 260 ; gain = 12%

        Using, gain% = (SP - CP)/CP * 100%

⇒ 12% = ((11x/10)+99 - x)/x  * 100%

⇒ 12x = (x/10 + 99) * 100

⇒ 12x = 10x + 9900

⇒ 12x - 10x = 9900

⇒ 2x =9900

⇒ x = 4950

Answer 2

Given :-

A cycle was sold at a gain of 10%. Had it been sold for 99RS. more, the gain would have been 12%

To Find :-

CP

Solution :-

Let the SP be x

Gain = 10%

Gain = x + 10% of x

Gain = x + 10/100x

Gain = 100x + 10x/100

Gain = 110x/100

Now,

Gain = 12%

Gain = x + 12% of x

Gain = x + 12/100x

Gain = 100x + 12x/100

Gain = 112x/100

114x/100 = 112x/100 + 99

114x/100 - 112x/100 = 99

2x/100 = 99

x/50 = 99

x = 50 × 99

x = 4950

x = 6500