Question

The difference between selling a coat at a profit of $4\%$ and that of $6\%$ is ₹3. Find the two selling price.

• A. Rs. 280 and Rs. 283
• B. Rs. 243 and Rs. 246
• C. 186 and Rs. 189
• D. 156 and Rs. 159

Answer 1

The correct option is D

156 and Rs. 159

Let the C.P. of the coat = ₹100

$\text{S.P. at a profit of}4\%=₹(100+4)=₹104$

$\text{S.P. at a profit of}6\%=₹(100+6)=₹106$

Difference in the two selling prices =₹(106 - 104) = ₹2

If the difference is ₹2, then first S.P. = ₹104

If the difference is ₹3, then first S.P $=₹\frac{104}{2}\times 3=₹156$.

Second S.P = 156 + 3 = ₹159.