(solved)Question 5 SSC-CGL 2018 June 4 Shift 2

The nominal value of an article is 315. It is sold in 288. If this leads to a loss of 4%, then what percentage of the item was marked more than the cost?
(Rev. 31-Oct-2024)

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Parveen,

Question 5
SSC-CGL 2018 June 4 Shift 2

The nominal value of an article is 315. It is sold in 288. If this leads to a loss of 4%, then what percentage of the item was marked more than the cost?

  1. 6-1/2
  2. 5
  3. 5-1/2
  4. 8

Solution 1

Use the shortcut to obtain the CP.

CP when loss and SP are known:

SP×100100−loss%\displaystyle SP \times \frac {100}{100 - \text{loss}\%}

Hence CP is 288×100100−4\displaystyle 288 \times \frac{100}{100 - 4} = Rs. 300

It was marked higher by:

315−300300×100=5% Ans‾\displaystyle \frac{315 - 300}{300} \times 100 = 5\%\:\underline{Ans}

Solution 2

Set up the unitary method.

If SP is 96, CP = 100

If SP is 288, CP = 10096×288\displaystyle \frac{100}{96} \times 288 = 300 Rs.

It was marked higher by

315−300300×100=5% Ans‾\displaystyle \frac{315 - 300}{300} \times 100 = 5\%\:\underline{Ans}

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