Question

Jayant sold two books at Rs. 14 each. On one he gains 20% and on the other loses 20%. Then he made

• A. no profit no loss
• B. loss of 4%
• C. gain of 1%
• D. None of these

Answer 1

Answer: (B)

loss of 4%

Let CP of first book is $x$

SP = CP + profit

Profit =$\frac{x\times 20}{100}$

14=$x$+$\frac{x\times 20}{100}$

Solving the above equation we get $x=11.67$

Let CP of other book is $y$

SP = CP - loss

Loss=$\frac{y\times 20}{100}$

14=$y$-$\frac{y\times 20}{100}$

Solving the above equation we get $y$=17.5

We have total $CP=11.67+17.50=29.17$

Total selling Price $=14+14=28$

CP>SP so their is loss

Loss $=29.17-28=1.17$

Loss % =$\frac{1.17}{29.17}\times 100$ =4%

So correct answer will be option B