Raju's Monthly Salary Problem

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Questions and Answers

If the base of a triangle is increased by 50%, by what percentage should its height be increased so that the area increases by 80%?

  • 18%
  • 14% (correct)
  • 15%
  • 20%

When the price of an item was reduced by 25%, its sale increased by x%. If there is an increase of 30% in receipt of the revenue, then what is the value of x?

  • 76.24
  • 75.37
  • 75.73
  • 73.33 (correct)

The price of a scooter increases successively by 10%, 5%, and 15%. What is the total percentage increase in the price of the scooter?

  • 32 33/40
  • 36 31/40 (correct)
  • 30 11/40
  • 34 21/40

A reduction of 30% in the price of bananas enables a customer to buy 8 more bananas for Rs 140. What is the reduced price of bananas per dozen?

<p>63 (C)</p> Signup and view all the answers

If the price of an item increases by 10%, 5%, and 15% successively, what is the net percentage increase in the price of the item?

<p>30.75% (C)</p> Signup and view all the answers

A 50% increase in the base of a triangle leads to an increase in the area by what percentage?

<p>100% (D)</p> Signup and view all the answers

In the election between Chamanlal, Arshad, and Jagjit Singh, what percentage of votes did Arshad get?

<p>25% (B)</p> Signup and view all the answers

What was the difference in votes between the winner and the person who received the least number of votes?

<p>14850 (C)</p> Signup and view all the answers

What percentage of votes were declared invalid in the election between two candidates?

<p>15% (C)</p> Signup and view all the answers

How many votes did the candidate get in the election between two candidates?

<p>17238 (D)</p> Signup and view all the answers

What percentage of the total votes did the candidate who won the election get?

<p>45% (B)</p> Signup and view all the answers

What was the margin of victory in the election between two candidates?

<p>400 votes (C)</p> Signup and view all the answers

What is the new consumption of sugar per month for the family?

<p>28.8 kg (A)</p> Signup and view all the answers

What is the difference between the expenditures of A and B?

<p>1200 (C)</p> Signup and view all the answers

What is the ratio of the savings of X and Y?

<p>12:19 (C)</p> Signup and view all the answers

If the family's sugar consumption was reduced by a certain percentage, what was the percentage decrease?

<p>20% (A)</p> Signup and view all the answers

What is the ratio of the incomes of A and B?

<p>5:4 (C)</p> Signup and view all the answers

What is the ratio of the incomes of A and B to their savings?

<p>5:16 (A)</p> Signup and view all the answers

What is the monthly salary of the person?

<p>Rs 1200 (B)</p> Signup and view all the answers

What percentage of commission is awarded on sales above Rs 5000?

<p>3% (D)</p> Signup and view all the answers

How much less are his earnings in the second case compared to the first case?

<p>Rs 1350 (B)</p> Signup and view all the answers

What is the amount of sales above which commission is awarded?

<p>Rs 5000 (B)</p> Signup and view all the answers

What is the percentage of sales that we need to find?

<p>30% (D)</p> Signup and view all the answers

What percentage of commission was decided initially?

<p>6% (B)</p> Signup and view all the answers

Raju spends 20% of his income on transport. If he saves ₹3200 and his total expenditure on food and clothing is ₹23480, what is his monthly salary?

<p>₹14800 (B)</p> Signup and view all the answers

Raju spends 20% of his income on transport, 15% of the remaining income on food, and 40% of the remaining income on clothing. If he saves ₹21840, what is his total expenditure on food and clothing?

<p>₹23480 (A)</p> Signup and view all the answers

If the price of sugar is increased by 40%, how much would a person's expenditure on sugar increase if they want to maintain the same consumption level?

<p>40% (D)</p> Signup and view all the answers

If the price of sugar is increased by 40%, and a person wants to increase their expenditure on sugar by only 20%, what is the percentage change in their consumption?

<p>16.7% (C)</p> Signup and view all the answers

If the price of sugar is increased by 25%, and a family's expenditure on sugar increases by only 10%, what is the percentage change in their consumption?

<p>12% (A)</p> Signup and view all the answers

If a person's expenditure on sugar increases by 10%, and the price of sugar increases by 25%, what is the percentage change in their consumption?

<p>12% (C)</p> Signup and view all the answers

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Study Notes

Percentage Change

  • Decrease in base of triangle by 50% requires height to be increased by 15% to increase area by 80%.

Sales and Revenue

  • 25% reduction in price of an item increases sales by x% and revenue by 30% (x = 73.33).

Successive Percentage Change

  • Successive increases of 10%, 5%, and 15% in the price of a scooter results in a total increase of 34.21%.

Percentage Discounts

  • 30% reduction in price of bananas enables a customer to buy 8 more bananas for Rs 140, resulting in a reduced price of Rs 63 per dozen.

Election Voting

  • Arshad receives 25% of the total votes, and the winner receives 14850 more votes than the person who received the least number of votes.

Voter Turnout

  • 60% of voters cast their votes, out of which 15% are declared invalid, and the winner receives 65% of the total valid votes.

Commission and Earnings

  • 6% commission on sales results in a monthly salary of Rs 1200, and 3% commission on sales above Rs 5000 results in a reduction of earnings by Rs 1350.

Sugar Consumption

  • 25% increase in price of sugar results in a new consumption of 28.8 kg per month, assuming the family's expenditure on sugar is only 10% more than the earlier one.

Income and Expenditure

  • Ratio of incomes of A and B is 5:4, and ratio of their expenditures is 6:7, resulting in a difference of Rs 1200 in their expenditures.

Savings and Income

  • Ratio of monthly incomes of X and Y is 12:11, and ratio of their monthly expenditures is 13:11, resulting in a ratio of savings of 12:19.

Salary and Expenses

  • Raju spends 20% on transport, 15% on food, and 40% on clothing, and saves Rs 2000, resulting in a monthly salary of Rs 15000.

Expenditure on Food and Clothing

  • Raju's saving is Rs 21840, resulting in a total expenditure on food and clothing together of Rs 24900.

Consumption and Price Change

  • 40% increase in price of sugar results in a 14.29% reduction in consumption to maintain a 20% increase in expenditure.

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