An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is:
A. 3%
B. 5%
C. 8%
D. 12%
Answer: Option B
Solution(By Examveda Team)
MP = 920 After first discount Marked Price (MP) become, = 920 - 15% of 920 = 782 The Selling Price (SP) = 742.90 Let second discount was x% on 782 782 - x% of 782 = 742.90 $$\frac{{782x}}{{100}}$$ = 39.1 782x = 3910 x = 5% Second Discount = 5% Short-Cut 920 == 15%(1st discount)) == 782 == x%↓(2nd discount) ⇒ 742.90Then,
$$\eqalign{ & x\% = \frac{{\left( {782 - 742.90} \right) \times 100}}{{742.90}} \cr & \,\,\,\,\,\,\,\,\,\,\, = \frac{{39.1 \times 100}}{{742.90}} \cr & \,\,\,\,\,\,\,\,\,\,\, = 5\% \cr} $$
This Question Belongs to Arithmetic Ability >> Profit And Loss
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Comments ( 2 )
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Why going in so complexity we have to consider 782(the figure we got after diducting the first discount which is 15%)as a main figure. Now according to question the SP is 742.90 the difference between the main figure and the SP is 39.10. We all know that once we get the difference between SP and CP we can easily calculate the profit ot loss as follows:-
920-15%of920=782
SP=742.90
DIFFERENCE= 920-742.90=39.10
Now= 39.10/100*782*100=5%
Correct Answer = B