Question

10. A watch was sold at a profit of 12%. Had it been sold for 533 more, the profit would have been 14%.
Find the cost price of the watch.​

Answer 1

Answer:

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 CPSP=

100

100+P%

×CP

SP=\frac{100+12}{100}\times xSP=

100

100+12

×x

SP=\frac{112}{100}\times xSP=

100

112

×x

SP=1.12xSP=1.12x

The profit would have been 14%.

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

100

100+P%

×CP

SP=\frac{100+14}{100}\times xSP=

100

100+14

×x

SP=\frac{114}{100}\times xSP=

100

114

×x

SP=1.14xSP=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 = 1.14x1.12x+33=1.14x

1.14x-1.12x=331.14x−1.12x=33

0.02x=330.02x=33

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

0.02

33x=1650x=1650