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Q.

The price of a pencil box is Rs. 70. If the price of the pencil box is reduced such that the ratio of the original price to the new price is 14:13, what will be the reduced price of the pencil box ?


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a

60

b

65

c

75

d

80 

answer is B.

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Detailed Solution

Concepts: The ratio of the old price to the new price is shown. Use the definition of a ratio in its simplest form to compare the ratio of an old price to a new price, then solve.
let the new price be x.
Now, a ratio is defined as 14:13=14/13 in terms of mathematics.
Applying this to determine the pencil box's new price:
14/13=original price/new price
⇒14/13=70/x
On cross-multiplication, we get:
14x=70×13⇒14x=910⇒14x=910⇒x=910/14⇒x=910/14∴x=65 Hence, the correct option is 2
 
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