Question

A watch was sold at a profit of 12%. Had it been sold for Rs.33 more, the profit would have been 14%.Find the cost price of the watch

Answer 1

☆Hello friend☆

Let the CP be x
SP= x+12x/100=112x/100
SP= x+14x/100= 114x/100
114x/100-112x/100= Rs 33
2x/100=Rs 33
x= Rs 33×100/2
x= Rs 33×50
x= Rs 1650

$hope \: it \: helps$

☺☺☺

Answer 2

Answer:

The cost price of the watch is Rs.1650.

Step-by-step explanation:

Given : A watch was sold at a profit of 12%. Had it been sold for Rs.33 more, the profit would have been 14%.

To find : The cost price of the watch ?

Solution :

Let the cost price be 'x'.

A watch was sold at a profit of 12%.

The selling price is $SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+12}{100}\times x$

$SP=\frac{112}{100}\times x$

$SP=1.12x$

The profit would have been 14%.

The selling price is $SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+14}{100}\times x$

$SP=\frac{114}{100}\times x$

$SP=1.14x$

A watch was sold at a profit of 12%. Had it been sold for Rs.33 more, the profit would have been 14%.

i.e. $1.12x+33 = 1.14x$

$1.14x-1.12x=33$

$0.02x=33$

$x=\frac{33}{0.02}$

$x=1650$

The cost price of the watch is Rs.1650.