Question

The cost of a cycle was increased by 20% of its initial price. Then the cost price of the cycle was
decreased by 10%. If the cost price of the cycle now is Rs. 540, its initial cost price ( in rupees) was?
400
500
600
700
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Answer 1

Answer:

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Step-by-step explanation:

the cost price of the cycle now is Rs. 540, its initial cost price ( in rupees) was? 400 500 600 700. Next Skip InstructionsSell Price + 450 = Cost Price + 10 % profit So the algebric equation is following. ... An article was sold for Rs 720 after a discount of 10%.

Answer 2

Answer:

The initial cost price of the cycle is Rs. 500

Step-by-step explanation:

Let the initial cost price of the cycle be $x$

Given that, the cost of the cycle was increased by 20%

Now, the cost price =  $x$ + $20$% of $x$

                                 =  $x+( \frac{20}{100} \times x )$

                                 =  $x+\frac{20x}{100}$

                                 =  $\frac{100x+20x}{100}$

                                 =  $\frac{120x}{100}$

                                 =  $\frac{6x}{5}$

Then the cost price of the cycle was decreased by 10%

Now, the cost price =  $\frac{6x}{5}$ - $10$% of $\frac{6x}{5}$

                                 =  $\frac{6x}{5} - (\frac{10}{100} \times \frac{6x}{5})$

                                 =  $\frac{6x}{5} - \frac{6x}{50}$

                                 =  $\frac{6x \times 10}{5 \times 10} - \frac{6x}{50}$

                                 =  $\frac{60x}{50} - \frac{6x}{50}$

                                 =  $\frac{60x-6x}{50}$

                                 =  $\frac{54x}{50}$

Given that, the final cost price is Rs. 540

∴ $\frac{54x}{50} = 540$

⇒ $54x = 540 \times 50$

⇒ $54x = 27000$

⇒ $x = \frac{27000}{54}$

⇒ $x = 500$

Therefore, the initial cost price of the cycle is Rs. 500

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