Question 15 Marks
Pankaj sells two cycles for Rs. 2376 each. On one he gains 10% and on the other he loses 10%. Find his gain or loss percent.
Answer
View full question & answer→SP of first cycle = Rs. 2376
Gain = 10%
$\therefore\text{CP of first cycle}=\frac{\text{SP}\times100}{100+\text{gain%}}$
$=\text{Rs. }\frac{2376\times100}{100+10}$
$=\text{Rs. }\frac{2376\times100}{110}$
$=\text{Rs. }2160$
In second case,
SP of second cycle = Rs. 2376
And loss = 10%
$\therefore\text{CP of second cycle = Rs. }\frac{2376\times100}{100-10}$
$=\text{Rs. }\frac{2376\times100}{90}$
$=\text{Rs. }2640$
$\therefore$ Total SP of two cycle
= Rs. 2376 × 2 = Rs. 4752
And CP = 2160 + 2640 = Rs. 4800
Loss = CP - SP
= Rs. 4800 - 4752
= Rs. 48
$\therefore\text{ Loss%}=\frac{\text{Loss}\times100}{\text{CP}}$
$=\frac{48\times100}{4800}$
$=1\%$
Gain = 10%
$\therefore\text{CP of first cycle}=\frac{\text{SP}\times100}{100+\text{gain%}}$
$=\text{Rs. }\frac{2376\times100}{100+10}$
$=\text{Rs. }\frac{2376\times100}{110}$
$=\text{Rs. }2160$
In second case,
SP of second cycle = Rs. 2376
And loss = 10%
$\therefore\text{CP of second cycle = Rs. }\frac{2376\times100}{100-10}$
$=\text{Rs. }\frac{2376\times100}{90}$
$=\text{Rs. }2640$
$\therefore$ Total SP of two cycle
= Rs. 2376 × 2 = Rs. 4752
And CP = 2160 + 2640 = Rs. 4800
Loss = CP - SP
= Rs. 4800 - 4752
= Rs. 48
$\therefore\text{ Loss%}=\frac{\text{Loss}\times100}{\text{CP}}$
$=\frac{48\times100}{4800}$
$=1\%$