Question

Find the SP when : CP = ₹9600 Gain = 16 2/3%​

Answer 1

Answer:

• Given -:

$C.P = Rs.\:9600$

$Gain = 16\frac{2}{3}\:percent$

• To find -:

The Selling Price

• Taken -:

To find the S.P use this formula -:

$\boxed{S.P=\dfrac{100+G}{100}×C.P}$

Where,

S.P = Selling price

G = Gain percent

C.P = Cost price

• Solution -:

$\implies{S.P=\dfrac{100+16\frac{2}{3}}{100}×9600}$

(Make mixed fraction into improper fraction then add with 100)

$\implies{S.P=\dfrac{\dfrac{100}{1}+\dfrac{50}{3}}{100}×9600}$

(L.C.M of 1 and 3 is 3)

$\implies{S.P=\dfrac{\dfrac{300+50}{3}}{100}×9600}$

$\implies{S.P=\dfrac{\dfrac{350}{3}}{100}×9600}$

$\implies{S.P=\dfrac{350}{3}×96}$

$\implies{S.P=350×32}$

$\implies{S.P=11200}$

• Answer -:

So , the selling price is ₹ 11,200 .