Maths-
General
Easy

Question

Pinky bought a saree and sold it for Rs 455 at a gain of 30% Find her cost price

  1. Rs.350    
  2. Rs.400    
  3. Rs.500    
  4. Rs.600    

hintHint:

We are given the selling price of saree of Pinky. It is Rs. 455. We are also gain percentage of the saree. It is 30%. We have to find the cost price. Gain is the extra amount we get when we sell a product. Gain percentage is the ratio of gain and cost price.

The correct answer is: Rs.350


    The given quantities are
    Selling price = Rs. 455
    Gain percentage = 30%
    We have to find cost price.
    We will find the value of gain first. Using that value, we will find the cost price.
    Gain = Selling price – Cost price
    Gain percentage is the increase in cost price.
    G a i n space p e r c e n tan g e space equals fraction numerator s e l l i n g space p r i c e space minus space cos t space p r i c e over denominator cos t space p r i c e end fraction space cross times space 100
W e space w i l l space s u b s i t u t e space a l l space t h e space v a l u e s.

30 space equals space fraction numerator 455 space minus space cos t space p r i c e over denominator cos t space p r i c e end fraction cross times space 100
D i v i d i n g space b o t h space t h e space s i d e s space b y space 100 space a n d space m u l t i p l y i n g space b y space cos t space p r i c e

30 over 100 cross times space cos t space p r i c e equals space 455 space minus space cos t space p r i c e
0.3 space cos t space p r i c e space equals space 455 space minus space cos t space p r i c e
A d d i n g space cos t space p r i c e space o n space b o t h space t h e space s i d e s.
0.3 cos t space p r i c e space plus space cos t space p r i c e space equals space 455
    1.3 cost price = 455
    Dividing both the sides by 1.3
    Cost price = 350 rupees.
    So, the cost price of saree is Rs. 350

    For such questions, we should know the formula of cost price and gain.

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