Question

A cycle was sold at a gain of 10%. Had it been sold for 260RS. more, the gain would have been 14%. Find the cost price of the cycle.​

Answer 1

Given :-

A cycle was sold at a gain of 10%. Had it been sold for 260RS. more, the gain would have been 14%

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 = 14%

Gain = x + 14% of x

Gain = x + 14/100x

Gain = 100x + 14x/100

Gain = 114x/100

114x/100 = 110x/100 + 260

114x/100 - 110x/100 = 260

4x/100 = 260

x/25 = 260

x = 25 × 260

x = 6500

Answer 2

❥QUESTION:-)

➡️A cycle was sold at a gain of 10%. Had it been sold for 260RS. more, the gain would have been 14%. Find the cost price of the cycle

❥ANSWER:-)

➡️Let x be the cost price of the cycle

Selling price when the cycle is sold at a gain of 14%

= 14x/100 = 114x/100

Selling price when cycle is sold at gain of 10%

= 114x/100 = 110x/100 = 260

= 4x/100 = 260

= x(260 * 100) / 4

= x(26000) / 4

= 6500

Therefore, the cost price of the cycle is Rs.6500

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