Question

Davinder bought 2000 balls for Rs. 6000 and sold 200 of these at a gain 5%. At what percent he must sell the remaining balls so as to gain 15% on the whole transaction

Answer 1

Step-by-step explanation:

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Answer 2

He must sell the remaining balls at 16.11% profit.

Step-by-step explanation:

Since we have given that

Number of balls = 2000

Cost = Rs. 6000

Number of balls out of 2000 sold at a gain of 5% = 200

So, we need to find the percentage at which he must sell the remaining balls to gain 15% on whole transaction.

So, by using "Mixture and Allegations", we get that

      5%             x

              15%

--------------------------------

    x-15      :        15 - 5

    x-15      :         10

According to question,

$\dfrac{x-15}{10}=\dfrac{200}{1800}=\dfrac{1}{9}\\\\9(x-15)=10\\\\9x-135=10\\\\9x=10+135\\\\9x=145\\\\x=\dfrac{145}{9}=16.11\%$

Hence, he must sell the remaining balls at 16.11% profit.

# learn more:

Manish Bought 1000 pencils for rs 3000 and sold 200 of these at a gain of 5%. at what gain percent he must sell the remaining pencil so as to gain 15% on the whole transaction?

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