Question

solve this problem please​

Answer 1

Given :-

• Gain = 5% .
• if SP was Rs.49 more the gain would have been 12% .

To Find :-

• Find the CP of perfume .

Solution :-

Let CP of Perfume = Rs.x .

Than,

→ SP when gain is 5% = [CP * (100 + gain%) ] / 100

→ SP = (x * 105)/100 = (105x/100)

And,

→ SP when gain is 12% = (x * 112)/100 = (112x/100)

A/q,

→ (112x/100) - (105x/100) = 49

→ (7x/100) = 49

→ 7x = 4900

→ x = Rs.700

Hence, Cost Price of the Perfume is Rs.700.

Answer 2

$\large{\underline{\underline{\mathfrak{Answer:-}}}}$

• The cost price of the perfume is Rs 700.

$\large{\underline{\underline{\mathbb{SOLUTION:-}}}}$

• sold at a gain of 5%
• if It had been dold for Rs 49 more the gain would 12%

we know,

$\longrightarrow { \sf{ sp = \frac{cp \times 100 + gain\%}{100} }}$

• Let cp of perfume : Rs x

•sp when gain % is 5%

$\longrightarrow \: { \tt{ \frac{105x}{100} }}$

•sp when gain % is 12%

$\longrightarrow \tt{\frac{112x}{100} }$

As per the question;

$\longrightarrow \: { \tt{\frac{112x}{100} = \frac{105}{100} }} \\ \\ \\ \longrightarrow \: { \tt{ \frac{7x}{100} = 49}} \\ \\ \\ \longrightarrow \: { \tt{7x = 49 \times 100}} \\ \\ \\ \longrightarrow \: { \tt{x = \frac{\cancel{4900}}{\cancel{7}} }} \\ \\ \\ \longrightarrow \: { \bf{x = 700}}$

$\therefore{\textsf{The cost price of the perfume is 700 Rs}}$