Question

A cycle was sold at a gain of 10% had it been sold for rs 70 more the gain would have been 15%find the cp​

Answer 1

Answer:

Let SP be x

Then gain = 10%

CP = x × 100/100+10 = x × 100/110 = 10x/11

If SP = ₹70+x

Then Gain = 15%

CP = (70+x) × 100/100+15 = (70+x) ×100/115 = (70+x) × 20/23 = 1400 + 20x/23

Then

10x/11 = 1400+20x/23

230x = 15400+220x

230x-220x =15400

10x =15400

x =15400/10

x = 1540

So SP= ₹1540

Therefore

CP = 10x/11 = 10×1540/11 = ₹1400

Answer 2

The cost price is Rs. 14000.

Given

• A cycle was sold at a gain of 10%.
• If it had been sold for Rs. 70 more the gain would have been 15%

To Find

The cost price

Solution

Let the cost price be Rs. x

The cycle was sold at a profit of 10% = 10x/100 = x/10

Selling Price = Cost Price + Profit

= Rs x + x/10

= Rs. 11x/10

Now according to the problem,

11x/10 + 70 = 115x/100

or, (11x + 700)/10 = 115x/100

or, 11x + 700 = 115x/10

or, 115x/100 - 11x = 700

or, (115x - 110x)/100 = 700

or, 5x/100 = 700

or, 5x = 700 X 100

or, 5x = 70, 000

or, x = 70,000/5

or, x = 14000

Therefore, the cost price is Rs. 14000.

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