Question

A music system was sold at a profit of 7%. If it had been sold at a profit of 10%, the profit would have been Rs 780 more. Find its cost price.

Answer 1

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Answer 2

Answer: Its cost price is Rs. 26000.

Step-by-step explanation:

Since we have given that

Profit on music system = 7%

Again profit on music system = 10%

Difference between the profits = Rs. 780

Let the cost price be 'x'.

$\dfrac{100+10}{100}x-\dfrac{100+7}{100}x=780\\\\\dfrac{110x}{100}-\dfrac{107x}{100}=780\\\\\dfrac{110x-107x}{100}=780\\\\\dfrac{3x}{100}=780\\\\x=\dfrac{780\times 100}{3}\\\\x=260\times 100\\\\x=Rs.\ 26000$

Hence, its cost price is Rs. 26000.