Question

If a man were to sell his hand-cart for Rs. 720, he would lose $25\%$. What must he sell it for to gain $25\%$? [3 MARKS]

Answer 1

Concept : 1 Mark
Calculation : 2 Marks
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We have,

S.P. of the Cart = 720

Loss $=25\%$

$\therefore C.P.=(\frac{100}{100-Loss}\times S.P.)$

$\Rightarrow C.P.=Rs(\frac{100}{100-25}\times 720)=Rs.(\frac{4}{3}\times 720)=Rs.960$

Thus, C.P. of the cart = Rs. 960

Desired gain $=25\%$

$\therefore S.P.=\frac{100+Gain\%}{100}\times C.P.$

$\Rightarrow S.P.=Rs(\frac{100+25}{100}\times 960)=Rs(\frac{125}{100}\times 960)=Rs(\frac{5}{4}\times 960)=Rs.1200$