Question

A mobile set, after allowing a discount of 10% on its marked price , was sold at a gain of 20%. had it been sold after allowing 20% discount, there would have been a profit Rs350. Find the cost price of mobile set

Answer 1

Answer:

the cost of mobile is 7000

Answer 2

The cost price of mobile set is Rs. 1250.

Step-by-step explanation:

Since we have given that

Let the cost price be 'x'

Discount % = 10%

Profit % = 20%

If he allowed 20% discount, there would be profit of Rs. 350

According to question, it would be

$\dfrac{100-10}{100}\times \dfrac{100+20}{100}x-\dfrac{100-20}{100}x=350\\\\\dfrac{90}{100}\times \dfrac{120}{100}x-\dfrac{80}{100}x=350\\\\\dfrac{108}{100}x-\dfrac{80}{100}=350\\\\\dfrac{108-80}{100}x=350\\\\\dfrac{28}{100}x=350\\\\x=\dfrac{350\times 100}{28}\\\\x=Rs.\ 1250$

Hence, the cost price of mobile set is Rs. 1250.

# learn more:

The cost price of a bag is rs350.lf is sold for a profit of 35 .find the profit percent

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