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A shopkeeper marked up the price of article P by 20% and give discount of d%, then he gets a loss of (d – 11) %. If cost price of article Q is Rs.200 and gets a profit of 1.5d%, then find the selling price of the article Q.Rs.335Rs.305Rs.300Rs.345Rs.330

Question

A shopkeeper marked up the price of article P by 20% and give discount of d%, then he gets a loss of (d – 11) %. If cost price of article Q is Rs.200 and gets a profit of 1.5d%, then find the selling price of the article Q.Rs.335Rs.305Rs.300Rs.345Rs.330

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Solution

Let's solve the problem step by step:

  1. Let's start with article P. The shopkeeper marked up the price by 20%. Let's say the cost price of article P is CP.

  2. After the markup, the selling price of article P becomes CP + 0.2CP = 1.2CP.

  3. Now, the shopkeeper gives a discount of d%. The discounted price of article P becomes 1.2CP - (d/100) * 1.2CP.

  4. The shopkeeper incurs a loss of (d - 11)%. So, the selling price of article P should be equal to (100 - (d - 11))% of the cost price.

  5. Equating the selling price from step 3 to the selling price from step 4, we get the equation: 1.2CP - (d/100) * 1.2CP = (100 - (d - 11))/100 * CP.

  6. Simplifying the equation, we get: 1.2CP - 1.2CP * d/100 = (100 - d + 11)/100 * CP.

  7. Cancelling out CP from both sides, we get: 1.2 - 1.2 * d/100 = (111 - d)/100.

  8. Simplifying further, we get: 1.2 - 0.012d = 1.11 - 0.01d.

  9. Rearranging the equation, we get: 0.002d = 0.09.

  10. Solving for d, we get: d = 0.09 / 0.002 = 45.

  11. Now, let's move on to article Q. The cost price of article Q is given as Rs.200.

  12. The shopkeeper gets a profit of 1.5d%. So, the selling price of article Q should be equal to (100 + 1.5d)% of the cost price.

  13. Substituting the value of d from step 10, we get: Selling price of article Q = (100 + 1.5 * 45)% of Rs.200.

  14. Calculating the selling price, we get: Selling price of article Q = 101.5% of Rs.200 = 1.015 * Rs.200 = Rs.203.

Therefore, the selling price of article Q is Rs.203.

So, none of the given options (Rs.335, Rs.305, Rs.300, Rs.345, Rs.330) is correct.

This problem has been solved

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