Arithmatical - Profit and Loss

DIRECTIONS : Problems based on Profit and Loss.
16. A shopkeeper give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs.704, then what is its labelled price?
  A.  Rs.844.80
  B.  Rs.929.28
  C.  Rs.1000
  D.  Rs.1044.80
Solution
Let the labelled price be Rs.x.
88% of 80% of x= 704
x=(704x100x100 /88x80)
= 1000.
17. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
  A.  30%
  B.  70%
  C.  100%
  D.  120%
Solution
Let C.P. = Rs. 100.Then, Profit = Rs.320,
S.P. = 420.
Let C.P. = Rs. 125% of Rs. 100= Rs.125.
New S.P. = Rs.420.
Profit = Rs. (420 - 125)= Rs.295.
∴ Required percentage = (295 / 420 x 100)%
= 1475 / 21%
= 70%.

18. A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price. His profit is
  A.  9%
  B.  10%
  C.  12%
  D.  None of these
Solution
Gain%= (10 / 90 x 100)%
= 111/9.
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