Question

A toywas sold at a gain of 12% If it had been sold for 33 more, the gain would have been 14% Finde
cost price of the tov
Discount​

Answer 1

$\blue{\large\underline{\underline\mathtt{Given:-}}}$

• A toy was sold at a gain of 12% .If it had been sold for 33 more, the gain would have been 14%.

$\red{\large\underline{\underline\mathtt{To \: find :-}}}$

• The cost price

$\green{\large\underline{\underline\mathtt{Solution:-}}}$

Now, it has been sold for 12% profit, so it is sold at:

=>  (1 + (12/100))x = 1.12x

given that if it had been sold for 33₹ more. I.e. if it had been sold at. 1.12x + 33

Net gain would have been 14%.

So gain of 14%, means the cost to be (1+(14/100))x = 1.14x

And basically both 1.12x +33 and 1.14x are final costs, so

1.14x = 1.12x + 3

=> 1.14x - 1.12x = 3

=> 0.02x = 3

=> x = 3÷0.02

=> x= 1650₹

$\pink{So \:original \:cost = <strong><em><u>1650₹.</u></em></strong> }$

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Answer 2

$\blue{\large\underline{\underline\mathtt{Given:-}}}$

A toy was sold at a gain of 12% .If it had been sold for 33 more, the gain would have been 14%.

$\red{\large\underline{\underline\mathtt{To \: find :-}}}$

The cost price

$\green{\large\underline{\underline\mathtt{Solution:-}}}$

Now, it has been sold for 12% profit, so it is sold at:

=>  (1 + (12/100))x = 1.12x

given that if it had been sold for 33₹ more. I.e. if it had been sold at. 1.12x + 33

Net gain would have been 14%.

So gain of 14%, means the cost to be (1+(14/100))x = 1.14x

And basically both 1.12x +33 and 1.14x are final costs, so

1.14x = 1.12x + 3

=> 1.14x - 1.12x = 3

=> 0.02x = 3

=> x = 3÷0.02

=> x= 1650₹

$\pink{So \:original \:cost = 1650₹. }$

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