Direction: Study the table below and answer the following questions. There are five sellers P, Q, R, S and T. They are selling four different items. The discount (as percentage) is given on the marked price of these four items by different sellers. |
(Note: 1. Some values are missing. You have to calculate these values as per data given in the questions.) |
2. Marked price of a particular item is same for all of the sellers. |
A) 21.32%
B) 19.16%
C) 28.16%
D) 15.26%
E) 25.40%
Correct Answer: E
Solution :
Let the marked price of Item II be 100x and that of item III be 100y. \[100x+100y=Rs.\,430300\] According to the question, \[100x\times \frac{60}{100}-100y\times \frac{75}{100}=465\] or, \[60x-75y=465\] or, \[4x-5y=31\] Putting value of y from (i), we get or, \[4x-5\left( 4303-x \right)=31\] or, \[4x+5x=31+21515\] or, \[9x=21546\] or, \[x=2394\] From (i), \[y=4303-2394\] \[\therefore \] \[y=1909\] Marked price of item II = Rs. 239400 Marked price of item III = Rs. 190900 \[\therefore \] Reqd%\[=\frac{239400-190900}{190900}\times 100\] \[=\frac{48500}{200900}\times 100=25.40%\]You need to login to perform this action.
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