Question

Manish sold his cycle for rupees 4800 and lost 20% at what price should he sell to gain 15%
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Answer 1

Answer:

Manish should sell the cycle at a price of ₹6900 to gain 15%.

Step-by-step explanation:

Selling Price of cycle sold by Manish = ₹4800

Let the price at which he bought the cycle is ₹ x.

According to the question the he sold the cycle at a loss of 20% i.e he sold the cycle at a price 20% less than the price at which he bought the cycle, ₹x.

∴ from the question we get,

x - (20% of x) = 4800

or, x - (20x/100) = 4800

or, (100x-20x)/100 = 4800

or, 80x/100 = 4800

or, x = (4800 × 100)/80

or, x = 6000

∴ Cost Price of the cycle bought by Manish was ₹6000

Hence, to sell the cycle at a profit of 15% Manish has to sell the cycle at a price 15% higher than the Cost Price.

∴ To sell the cycle at a gain of 15% Manish should sell it at a price of =

6000 + (15% of 6000) = 6000 + {(15/100)*6000} = 6000 + 900 = ₹6900

Manish should sell the cycle at a price of ₹6900 to gain 15%.

Answer 2

Answer:

For a gain of 15 %, Selling Price should be Rs 6900.

Step-by-step explanation:

Given,

Selling Price ( SP ) = Rs 4800

Loss Percentage = 20 %

Gain Percentage = 15 %

Let, Cost Price ( CP ) = Rs x

We know that,

    SP = CP - $\frac{CP*Loss Percentage}{100}$

⇒  4800 = x - $\frac{x*20}{100}$

⇒  4800 = $\frac{4x}{5}$

⇒  x = $\frac{4800*5}{4}$

⇒  x = Rs 6,000

Therefore, CP = Rs 6,000

Now,

For a gain of 15 %

   SP = CP + $\frac{CP*Profit Percentage}{100}$

         = 6000 + $\frac{6000*15}{100}$

         = 6000 + 900

         = Rs 6900  

For a gain of 15 %, Selling Price should be Rs 6900.