Question

Hello friends❤️❤️❤️
Parvinder sold a watch at a loss of 5%. If he had sold that watch for ₹27 more, he would have gained 7%. Find the cost price of the watch.​

Answer 1

$\sf{Let\:the\:cost\:price\:=\:Rs.\:x}$

$\bigstar$$\longrightarrow \sf\:1) Loss(L) = 5\:percent$

$\\ \longrightarrow \sf\: Selling price (S1) = \frac{ x \times (100-L)}{100}$$\\ \longrightarrow \sf\: \frac{ x \times (100-5)}{100}\\ \\\longrightarrow \sf\: \frac{ 95x}{100}.........(1)$

$\bigstar$$\longrightarrow \sf\:2) Gain(G) = 7\:percent$

$\\ \longrightarrow \sf\: Selling price (S2) = \frac{ x \times (100+G)}{100}$$\\ \longrightarrow \sf\: \frac{ x \times (100+7)}{100}\\ \\ \longrightarrow \sf\: \frac{ 107x}{100}.........(2)$

$\underbrace{According\:to\:the\:question}$

$\longrightarrow \sf\: \frac{107x}{100} - \frac{95x}{100} = 27 \\ \\ \longrightarrow \sf\: \frac{12x}{100} = 27 \\ \\ \longrightarrow \sf\: 12x = 2700 \\ \\ \longrightarrow \sf\: x = \cancel{\frac{2700}{12}} = 225$

Cost price = $\boxed{Rs.225}$

Answer 2

Answer:

let the cost price= Rs x

1) loss=l=5% selling price(s1)=x(100-1%)/100 =x(100-5)/100 =95x/100---(1)

2) gain (g)=7% selling price(s2)= x(100+g)/100 = x(100+7)/100 =107x/100---(2) but

(2) - (1)=27

107x/100 - 95x/100=27 12x/100=27 x=27*100/12 after cancellation x=225 therefore cost price=Rs225

Step-by-step explanation:

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