Answer

Verified

54.9k+ 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:

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

Write a composition in approximately 450 500 words class 10 english JEE_Main

Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main

What is the common property of the oxides CONO and class 10 chemistry JEE_Main

If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main

The area of square inscribed in a circle of diameter class 10 maths JEE_Main

Common roots of the equations2sin 2x + sin 22x 2and class 10 maths JEE_Main

Other Pages

In the ground state an element has 13 electrons in class 11 chemistry JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

The resultant of vec A and vec B is perpendicular to class 11 physics JEE_Main

when an object Is placed at a distance of 60 cm from class 12 physics JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

The nitride ion in lithium nitride is composed of A class 11 chemistry JEE_Main