Question

10. Rajesh bought a table lamp for 250. At what price should he sell it to get 14.5% profit?
​

Answer 1

Answer :

At Rs. 286.85 price he should sell to get 14.5 % profit.

Solution :

Given

Cost price of a table lamp (CP) = 250

Profit % (P)= 14.5 %

We know that

Selling Price = CP * (100 + P)/100

= 250 * (100 + 14.5)/100

= 25 * 114.5/10

= 25 * 11.45

= 286.25

Therefore at Rs. 286.85 price he should sell to get 14.5 % profit.

Verification :

Let us check

Profit = SP - CP

= 286.25 - 250

= 36.25

Profit % = Profit/CP * 100

= 36.25/250 * 100

= 3625/250

= 14.5 %

We got same profit % as given.

Answer 2

$\bold {\huge {Answer :-}}$

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

✦ ✬Given

➛Cost Price (CP) of table lamp = Rs 250

➛Gain percentage (G%) = 14.5%

✦ ✬To find

➛Selling price of table lamp = ?

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Step-by-step Explaination

Since we know that

$\bf\Large\boxed{SP = \frac{CP\times\:(100+G\%)}{100}}$

On putting the values

$\Large\bold{\Rightarrow\:SP=\frac{250\times(100+14.5)}{100}}$

$\Large\bold{\Rightarrow\:SP=\frac{250\times(114.5)}{100}}$

$\Large\bold{\Rightarrow\:SP= Rs.\:286.25}$

Hence, the selling price of lamp is $\normalsize\bold{Rs. \:286.25}$