Question

a piano is marked for sale at Rs 13500.the dealer allows 6% discount and then makes a profit of 25% on the cost price.fid the cost price of the piano.

Answer 1

MP=Rs.13500. Discount = Discount% of MP = 6% of Rs.13500=6/100*Rs.13500=Rs.810 SP=MP - Discount = Rs. (13500-810)=Rs. 12690 CP=100/100+profit%*SP = 100/100+25*12690 = 100/125*12690=Rs.10152. Hope it helps please mark as branliest

Answer 2

The cost price of the piano = Rs. 10152

Given :

• A piano is marked for sale at Rs. 13500.

• The dealer allows 6% discount and then makes a profit of 25% on the cost price

To find :

The cost price of the piano

Solution :

Step 1 of 3 :

Calculate the selling price of the piano

The piano is marked for sale at Rs. 13500.

The dealer allows 6% discount

∴ Discount Amount

$\displaystyle \sf = Rs. \: 13500 \times \frac{6}{100}$

$\displaystyle \sf = Rs. \: 810$

∴ Selling price

= Marked price - Discount Amount

= Rs. 13500 - Rs. 810

= Rs. 12690

Step 2 of 3 :

Form the equation to find cost price of the piano

Let the cost price of the piano = Rs. C

Then by the given condition

$\displaystyle \sf C + \bigg(C \times \frac{25}{100} \bigg) = 12690$

Step 3 of 3 :

Calculate the cost price of the piano

$\displaystyle \sf C + \bigg(C \times \frac{25}{100} \bigg) = 12690$

$\displaystyle \sf \implies \: C + \frac{25C}{100} = 12690$

$\displaystyle \sf \implies \: \frac{100C + 25C}{100} = 12690$

$\displaystyle \sf \implies \: \frac{125C}{100} = 12690$

$\displaystyle \sf \implies \: C = 12690 \times \frac{100}{125}$

$\displaystyle \sf \implies \: C = 10152$

Hence cost price of the piano = Rs. 10152

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