Question

A cycle was sold at a gain of 10%. Had it been sold for ₹70 more, the gain would have been 15%. Find the cost price of the cycle.
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Answer 1

Answer:

I don't know sorry for doing this

Answer 2

Given:

• A cycle was sold at a gain of 10%. Had it been sold for ₹70 more, the gain would have been 15%.

To Find:

• The cost price of the cycle.

Solution:

Let the cost price of the cycle be ₹ x.

⠀⠀⠀⠀⠀⠀⠀ Gain = 10%

∴ Gain = 10% of ₹ x = ₹ 10x/100 = ₹ x/10

⠀⠀⠀⠀⠀⠀⠀ ⠀S.P. = C.P. + Gain

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = ₹ (x + x/10) = ₹ 11x/10

⠀⠀⠀⠀ ⠀New gain = 15%

∴ New gain = 15% of x = ₹ 15x/100

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ₹ 3x/20

⠀⠀⠀⠀ ⠀ ⠀⠀New S.P. = ₹ (x + 3x/20)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ₹ 23x/20

It is given that difference between new S.P. and the original S.P. is ₹ 70

∴ 23x/20 – 11x/10 = 70

⇛ 23x – 22x = 70

⇛⠀⠀⠀⠀⠀ ⠀ x/20 = 70

⇛⠀⠀⠀⠀⠀⠀⠀⠀⠀x = 70 × 20

⇛⠀⠀⠀⠀⠀⠀⠀⠀⠀x = 1400

Hence, the C.P. of the cycle is ₹1400