
Madhuri went to a supermarket. The price changes are as follows. The price of rice reduced by 5%, jam and fruits reduced by 8%, and oil and dal increased by 10%. Help Madhuri to find the changed price in the given table.
Item Original price per kg(Rs.) Changed price Rice 30 Jam 100 Apples 280 Oil 120 Dal 80
Item | Original price per kg(Rs.) | Changed price |
Rice | 30 | |
Jam | 100 | |
Apples | 280 | |
Oil | 120 | |
Dal | 80 |
Answer
126.3k+ views
Hint: Use the given reduction and increment percentage along with the given original prices to find the changed rate. For the reduction, find the change percent by subtracting the given reduction percent from 100 and for increment, find the change percent by adding the given increment percent from 100.
Complete step by step solution:
It is given that the price of rice reduced by 5%, jam and fruits reduced by 8%, and oil and dal increased by 10%.
We have to find the changed price for each item.
As we have given that the price of rice reduced by 5% and the original price of rice is Rs.30, so the changed price is the $\left( {100 - 5} \right) = 95$% of the original price.
$ \Rightarrow 95\% {\text{ of }}30$
We simplify the value:
$ \Rightarrow \dfrac{{95}}{{100}} \times 30$
$ \Rightarrow 28.5$
So, the changed price of the rice is Rs.$28.5$.
Similarly, we have given that the price of jam is reduced by $8\% $ and the original price of the jam is Rs.100, so the changed price is the \[\left( {100 - 8} \right) = 92\]% of the original price.
\[ \Rightarrow 92\% {\text{ of 100}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{92}}{{100}} \times {\text{100}}\]
\[ \Rightarrow 92\]
So, the changed price of the jam is Rs.$92$.
We have also given that the price of an apple is reduced by $8\% $ and the original price of the apple is Rs280, so the changed price is the $\left( {100 - 8} \right) = 92$% of the original price.
\[ \Rightarrow 92\% {\text{ of 280}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{92}}{{100}} \times 280\]
\[ \Rightarrow 257.6\]
So, the changed price of the apple is Rs.$257.6$.
We have also given that the price of oil has increased by $10\% $ and the original price of the oil is Rs.120, so the changed price is 110% of the original price.
\[ \Rightarrow 110\% {\text{ of 120}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{110}}{{100}} \times {\text{120}}\]
\[ \Rightarrow 132\]
So, the changed price of the oil is Rs.$132$.
We have also given that the price of dal has increased by $10\% $ and the original price of the dal is Rs.80, so the changed price is 110% of the original price.
\[ \Rightarrow 110\% {\text{ of 80}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{110}}{{100}} \times 80\]
\[ \Rightarrow 88\]
So, the changed price of the dal is Rs.$88$.
Hence, we have changed price shown in the table below:
Note: We can also find the changed price by an alternate method.
For reduction: Original price – $\left( {\% {\text{ of original price}}} \right)$
For increment: Original price + $\left( {\% {\text{ of original price}}} \right)$
Rice: $30 - \left( {5\% {\text{ of 30}}} \right) = 30 - 1.5 = 28.5$
Jam: $100 - \left( {8\% {\text{ of 100}}} \right) = 100 - 8 = 92$
Apple: $280 - \left( {8\% {\text{ of 280}}} \right) = 280 - 22.4 = 257.6$
Oil: $120 + \left( {10\% {\text{ of 120}}} \right) = 120 + 12 = 132$
Dal: $80 + \left( {10\% {\text{ of 80}}} \right) = 80 + 8 = 88$
Complete step by step solution:
It is given that the price of rice reduced by 5%, jam and fruits reduced by 8%, and oil and dal increased by 10%.
We have to find the changed price for each item.
As we have given that the price of rice reduced by 5% and the original price of rice is Rs.30, so the changed price is the $\left( {100 - 5} \right) = 95$% of the original price.
$ \Rightarrow 95\% {\text{ of }}30$
We simplify the value:
$ \Rightarrow \dfrac{{95}}{{100}} \times 30$
$ \Rightarrow 28.5$
So, the changed price of the rice is Rs.$28.5$.
Similarly, we have given that the price of jam is reduced by $8\% $ and the original price of the jam is Rs.100, so the changed price is the \[\left( {100 - 8} \right) = 92\]% of the original price.
\[ \Rightarrow 92\% {\text{ of 100}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{92}}{{100}} \times {\text{100}}\]
\[ \Rightarrow 92\]
So, the changed price of the jam is Rs.$92$.
We have also given that the price of an apple is reduced by $8\% $ and the original price of the apple is Rs280, so the changed price is the $\left( {100 - 8} \right) = 92$% of the original price.
\[ \Rightarrow 92\% {\text{ of 280}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{92}}{{100}} \times 280\]
\[ \Rightarrow 257.6\]
So, the changed price of the apple is Rs.$257.6$.
We have also given that the price of oil has increased by $10\% $ and the original price of the oil is Rs.120, so the changed price is 110% of the original price.
\[ \Rightarrow 110\% {\text{ of 120}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{110}}{{100}} \times {\text{120}}\]
\[ \Rightarrow 132\]
So, the changed price of the oil is Rs.$132$.
We have also given that the price of dal has increased by $10\% $ and the original price of the dal is Rs.80, so the changed price is 110% of the original price.
\[ \Rightarrow 110\% {\text{ of 80}}\]
We simplify the value:
\[ \Rightarrow \dfrac{{110}}{{100}} \times 80\]
\[ \Rightarrow 88\]
So, the changed price of the dal is Rs.$88$.
Hence, we have changed price shown in the table below:
Item | Original price per kg(Rs.) | Changed price |
Rice | 30 | 28.5 |
Jam | 100 | 92 |
Apples | 280 | 257.6 |
Oil | 120 | 132 |
Dal | 80 | 88 |
Note: We can also find the changed price by an alternate method.
For reduction: Original price – $\left( {\% {\text{ of original price}}} \right)$
For increment: Original price + $\left( {\% {\text{ of original price}}} \right)$
Rice: $30 - \left( {5\% {\text{ of 30}}} \right) = 30 - 1.5 = 28.5$
Jam: $100 - \left( {8\% {\text{ of 100}}} \right) = 100 - 8 = 92$
Apple: $280 - \left( {8\% {\text{ of 280}}} \right) = 280 - 22.4 = 257.6$
Oil: $120 + \left( {10\% {\text{ of 120}}} \right) = 120 + 12 = 132$
Dal: $80 + \left( {10\% {\text{ of 80}}} \right) = 80 + 8 = 88$
Recently Updated Pages
Difference Between Area and Volume

Difference Between Mutually Exclusive and Independent Events

JEE Main 2025 Sample Question Paper-1 with Answer Keys - Free PDF

JEE Main Previous Year Question Paper with Answers - Download FREE PDF

JEE Main Sample Papers 2025 with Solutions - FREE PDF Download

JEE Main 2025 22 Jan Shift 1 Physics Answer Key with Solutions

Trending doubts
JEE Main Marks Vs Percentile Vs Rank 2025: Calculate Percentile Using Marks

JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility & More

JEE Main Cutoff 2025 – Official Cutoff Release Date | Expected Cutoff Marks

JEE Main Marks vs Rank 2025

JEE Main 2025 22 Jan Shift 1 Question Paper with Solutions

NIT Cutoff Percentile for 2025

Other Pages
NCERT Solutions for Class 9 Maths Chapter 9 Circles

NCERT Solutions for Class 9 Maths Chapter 11 Surface Area and Volume

NCERT Solutions for Class 9 Maths Chapter 11 Surface Areas And Volumes Ex 11.3

NCERT Solutions for Class 9 Maths Chapter 12 Statistics

NCERT Solutions for Class 9 Maths Chapter 10 Heron'S Formula

NCERT Solutions for Class 9 Maths In Hindi Chapter 1 Number System
