Question

A cycle was sold at a gain Of 10% if it would have been sold for ₹70 more then the gain would be 15%

Answer 1

10/100 × CP +CP = SP
15/100 × CP + CP = 10/100 × CP + CP + 70
After doing the above calculation,
CP = 1200

Answer 2

Answer:

Cost price was ₹1400

Sale price was ₹1540

Step-by-step explanation:

Assuming the question is meant to be something like "what was the cost price of the cycle?" or "what was the sale price of the cycle?", let's work those out.

Let C be the cost price and S the sale price.

The sale price of S was a gain of 10%

=> S = C + 10% of C

      = C + 0.1×C

      = 1.1 × C               ... (1)

If the sale price had been S+70 instead, this would be a gain of 15%

=> S+70 = C + 15% of C

             = 1.15 × C       ... (2)

Substituting (1) into (2) gives

1.1 × C + 70 = 1.15 × C

=> 0.05 × C = 70

=> C = 70 / 0.05 = 140 / 0.1 = 1400

The sale prices was then

S = 1.1 × C = 1.1 × 1400 = 1540