Question

by selling a cycle for Rs.4860, a student losses 19%.his cost price is ?​

Answer 1

The cost price of the cycle = Rs. 6000

Given :

By selling a cycle for Rs. 4860 , a student losses 19%.

To find :

The cost price of the cycle

Solution :

Step 1 of 2 :

Form the equation to find the cost price of the cycle

Let the cost price of the cycle = Rs. C

Now the student losses 19%

∴ The selling price of the cycle

$\displaystyle \sf{ = Rs. \: C \times \bigg( 1 - \frac{19}{100} \bigg) }$

$\displaystyle \sf{ = Rs. \: C \times \bigg( \frac{100 - 19}{100} \bigg) }$

$\displaystyle \sf{ = Rs. \: C \times \bigg( \frac{81}{100} \bigg) }$

$\displaystyle \sf{ = Rs. \: \frac{81C}{100} }$

By the given condition

$\displaystyle \sf{ \frac{81C}{100} = 4860 }$

Step 2 of 2 :

Find the cost price of the cycle

$\displaystyle \sf{ \frac{81C}{100} = 4860 }$

$\displaystyle \sf{ \implies C = 4860 \times \frac{100}{81} }$

$\displaystyle \sf{ \implies C = 60 \times 100}$

$\displaystyle \sf{ \implies C = 60 00}$

Hence the cost price of the cycle = Rs. 6000

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