Mathematical Aptitude - Profit and Loss

6. A dealer paid a car manufacturer Rs 1,35,000 for a car. What should be the selling price of the car, if after allowing a buyer 10 % discount on the selling price, he made a profit of 8% on his outlay?

  • Option : C
  • Explanation : Profit and loss formula is given by, Let S.P. of the car = x
    Discount of 10%.
    Profit = 8%.
    ∴ ((90/100)x – 135000/135000) × 100 = 8
    ⇒ (90/100)x – 135000 = 8 × 1350 ⇒ (90/100)x
    ⇒ x = 162000
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7. A man sells an article at a profit of 8%. If the cost price were 10% less and the selling price Rs 18 less, then his profit would have been 15%. Find the cost price of the article.

  • Option : D
  • Explanation : Let C.P. of the article = 100
    ∴ Old S.P. = 108. New C.P. = 90. As the profit is 15%, so the new S.P. = 90 × 115/100 = 103.5. The difference in the two selling prices = 108 – 103.5 = Rs 4.5 If difference in S.P. is 4.5 then C.P. = 100. If difference in S.P. is 18, then C.P. = (100/4.5) × 18 = Rs 400.
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10. The cost of an article is Rs 5000. The marked price is Rs 8000. What is the profit % for the seller if he sells and offers a discount of 10% on the marked price?

  • Option : D
  • Explanation : SP = 90% of 8000 = Rs 7200
    Profit = 7200 – 5000 = Rs 2200
    Profit percentage = 2200/5000 × 100 = 44%
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