Question

Send FeedbackA toffee vendor sells his toffee at a gain of 10%, if thevendor increases the price of his toffee by Rs. 1.2 thenthe gain will be 30%. What is the original price atwhich the vendor sold his toffee?​

Answer 1

Answer:

Correct option is

C

5

C.P. of 6 toffees =Re.1

S.P. of 6 toffees =120% of Re.1=Rs.

5

6

For Rs.

5

6

, toffees sold =6.

For Re.1, toffee sold =(6×

6

5

)=5.

Answer 2

Given: A toffee vendor sells his toffee at a gain of 10% if the vendor increases the price of his toffee by Rs. 1.2 then the gain will be 30%.

To find: We have to find the original selling price of the toffee.

Solution:

Let the selling price of the toffee is x rupees.

The vendor gains a 10% profit. So, the cost price of the toffee will be-

$x - \frac{x \times 10}{100} \\ x - \frac{x}{10} \\ \frac{9x}{10}$

The vendor increases the price by 1.2 rupees so, the new selling price is x+1.2.

The gain percentage is 30%.

So, we can write-

$\frac{x + 1.2 - \frac{9x}{10} }{ \frac{9x}{10} } = \frac{30}{100} \\ \frac{(10x - 9x + 12)}{9x} = \frac{3}{10} \\ 10x + 120 = 27x \\ 17x = 120 \\ x =7.06$

The selling price of the toffee is 7.06 rupees.