A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar.
A. Rs. 10 per Kg
B. Rs. 8 per Kg
C. Rs. 6 per Kg
D. Rs. 5 per Kg
Answer: Option A
Solution(By Examveda Team)
It is based on inverse proportion or product constancy concept. Reduction in price 20% amount of sugar will increase 25%It means,
25% = 6 Kg. So,
Initially, total Sugar = 6 × 4 = 24Kg. Thus,
Original price of the sugar was,
$$\frac{{240}}{{24}}$$ = Rs. 10 per kg.
Note:
Let initial price of 100 kg Sugar was Rs. 100.
Now, 20% decrease in rate then rate of 100 kg sugar would be Rs. 80.
So,
Rs. 80 = 100 kg sugar.
Rs. 1 = $$\frac{{100}}{{80}}$$ kg sugar.
Rs. 100 = $$\frac{{100 \times 100}}{{80}}$$ = 125 Kg sugar.
Increment in sugar = 25 kg.
% increment = $$\frac{{25 \times 100}}{{100}}$$ = 25%.
Means 20% rate decrease, 25% of consumption increase.
This Question Belongs to Arithmetic Ability >> Profit And Loss
Join The Discussion
Comments ( 35 )
Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
Fraction value of 20% is 1/5
and decrement in price means
Previous price : New price
5 : 4
When we change the ratio of price, then we get the ratio of consumption
so the ratio of the consumption will become
Previous consumption : New consumption
4 : 5
In ratio the difference between 4 and 5 is 1 and in reality the difference is 6 kg
so the previous consumption was (6*4)= 24 kg
and the new consumption is (6*5) = 30 kg
To calculate the previous price
240/24 =10 ₹/kg
To calculate the new price
240/30 = 8 ₹/kg
Price= 5:4
Consumption=4:5
1 part= 6kg
Initial kg =24(6*4)
So. 240₹/24kg=₹10
Let, Original price=100
20% discount new price=100-20=80
New price 80 original price 100
New price 240 original price=240*100/80=300
save =300-240=60
so, 6kg's price 60
1 kg's price=60/6=10
let price is x
new price is 4x/5
240/(4x/5)-240/x=6
x=10
A shopkeeper makes a profit of 25% on selling sugar if now he reduce the price by 10% which allows the costumer to buy 3 kg more sugar for Rs 270 find the new profit of the shopkeeper( in rs)?
@ md helal how uhh should write qnty as 4:5
20% = 1/5
Old : New = 4 : 5 (Quantity)
Increase% = (1*100)/4 = 25% (Quantity)
ATQ, 25% ≡ 6
Then 100% ≡ (6*100)/25 = 24 kg
So, Orginal price = 240/24 = 10 Tk.
Solved by : MD.Helal Uddin
Old : New = 5 : 4 (Price)
Old : New = 4 : 5 (Quantity) or 24 : 30 (Gap 6 )
So original price = 240/24 = 10
Solved by : Md. Helal Uddin
what we do... if we don't know the decrease percentage?
@shikha_Pandey
Your answer is here
Let initially,
100kg = 100 rs
After increment of 25% in price
100 kg = 125 rs
100/125kg = 1rs
(100/125)×100kg = 100rs
100rs = 80kg
It means that 20% reduction in quantity of sugar
And according to question value of 20% is equal to 5 kg which means that initially 25kg of sugar was purchased at 800rs
Now, 800/25 = 32rs This is the original price of sugar.
Now new price of sugar is 800/20 = 40rs
And 12kg of sugar was bought at original price i.e. 32×12 = 384 rs
What's the answer for this question ..8 ya 10 ek decide karlo .
A door to door salesman gets 12percent commision on the selling price for the first 20kg that he sells. He gets 20percent commision on the excess he sells,if he sells more than 20 kg . If he had sold 48kg in a month,at rs 80 per kg , calculate his total commision
A door to door salesman gets 12percent commision on the selling price for the first 20kg that he sells. He gets 20percent commision on the excess he sells,if he sells more than 20 kg . If he had sold 48kg in a month,at rs 80 per kg , calculate his total commision
Plss give me the solution
The increasing of 25% in the price of sugar a person would enable to purchase 5kg less amount for 800Rs find the new rate of the sugar
Secondly find the old rate and find the 12 kg sugar rate from old rate?
A reduction of 20% in price of salt enables a person to buy 4kg salt more rs 100. Price of salt before decrease?
8
8
8
a reduction of 20% in the price of sugar enables a customer to obtain 2 kg more for rs. 160 then what is the original price per kg??
a reduction of 20% in the price of sugar enables a customer to obtain 2 kg more for rs. 160 then what is the original price per kg??
a reduction of 20% in the price of sugar enables a customer to obtain 2 kg more for rs. 160 then what is the original price per kg??
sorry it was posted by wrongly .. new price rs 8
Ans is 8rs .
A shopkeeper makes a. Profit of 25% on selling sugar if now he reduce the price by 10% which allow the customer to buy 3 kg more sugar for rs. 270 find the new profit of the shopkeeper?
Let initial price was Rs. x per kg.
250g = 0.25 kg.
Now,
270/0.9x - 270/x= 0.25kg
300/x - 270/x = 0.25
(300 - 270) = 0.25x
0.25x = 30
x = 120.
Initial price was Rs. 120 per kg.
@Swtha, is it clear to you?
Due to decrease of 10% in the price of teaper kg, a consumer buys 250gm of tea morethan before for Rs. 270. What is the originalprice of tea ?
Let Rs 240 = X Kg sugar initially
Now 80% of Rs 240= 192= X kg now after reduction in price
=> 240= X*240/192= 5X/4
A/Q 5X/4 -X = 6kg => X= 24Kg
=> So Initial rate of sugar 240/24= 10per kg & rate after reduction in price
= 192/24= Rs 8 per kg
a reduction of 25% in price of coconuts enables a person to buy 4 coconuts more for rs 96 price of the coconut before decrease?
AN INCREASE OF 20% IN PRICE OF SUGAR MAKES HOUSEWIFE GET 2 KG LESS FOR RS 144 WHAT IS THE PRICE OF SUGAR BEFORE INCREASE?
25% sugar = 6 Kg.
1% = 6/25%
100% sugar = (6*100%)/25% = 6*4 = 24 kg.
Why did you multiply by 4?
can u explain the concept.how the reduction in price 20% amount of sugar will increase 25%???????
Let suppose I want to buy a certain amount of sugar at rs240 every month.
I am a small boy so I dont understand calculation I just put money to shopkeeper and he gave me sugar.
This time when I went there he told me that purchasing that amount of sugar enable me a return gift of rs48(20% of 240) as the price of sugar is decrease.
I told him to gave sugar instead of money and he gave me 6kg of sugar.
Now, in that 6kg I get rs 48
in 1kg I get rs8
that is nowadays price of sugar is 8rs/kg.
let initial price of sugar is x rs per kg then
reduction in 20% of initial price results in price of 8rs/kg
therefore
x-(20/100)x=8
(4/5)x=8
x=40/4=10rs/kg
That`s it.
Let the original price be 10x Rs per kg (You can have any value 10 or 100)
New price = 8x Rs per kg
240/8x - 240/10x = 6
MULTIPLY BY 40x (LCM)
1200 - 960 = 240x
240 = 240x
x = 1
10x = Rs 10 per kg ANSWER
20% of 240/- is 48 /-
Therefore we get 6kg sugar by 48/-
Then
48=6kg
? =1kg
Then 1kg price is 8/- ( reduction price )
Original price:
100% = ?
80% = 8/- ( bcoz in question he gives 20% reduction)
There fore (100÷80)*8 = 10/-