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## Arithmetic : Level 1 Test -4

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Question 1 |

Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment was

Rs. 15000 | |

Rs. 12000 | |

Rs. 10000 | |

Rs.Â 20000 |

Question 1 Explanation:

Let the value of consignment be p.

Then2/3p x 1.05 +1/3p x 0.98 = p + 400

1/3p (3.08) = p +400

(0.08/3) p = 400

p = 15000

Hence, option A is the right answer

Then2/3p x 1.05 +1/3p x 0.98 = p + 400

1/3p (3.08) = p +400

(0.08/3) p = 400

p = 15000

Hence, option A is the right answer

Question 2 |

Two shopkeepers announce the same price of Rs.Â 700Â for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount give a discount which is more by Rs. _____ than the other shopkeeper:

Rs. 22.40 | |

Rs. 11.80 | |

Rs.Â 9.80 | |

Both are same, Rs.0 |

Question 2 Explanation:

Price = 700

The first offers successive discounts of 30% and 6%

Therefore the selling price of the first shopkeeper 700 x 70/100 x 94/100 = Rs. 460.60

The second offers successive discounts of 20% and 16%

Selling price of second shopkeeper

700 x 80/100 x 84/100 = Rs. 470.40

Required difference

= 470.40 - 460.60 = Rs. 9.80

The first offers successive discounts of 30% and 6%

Therefore the selling price of the first shopkeeper 700 x 70/100 x 94/100 = Rs. 460.60

The second offers successive discounts of 20% and 16%

Selling price of second shopkeeper

700 x 80/100 x 84/100 = Rs. 470.40

Required difference

= 470.40 - 460.60 = Rs. 9.80

Question 3 |

Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit would he have made if he had sold the transistor at the marked price?

25% | |

20% | |

10% | |

None of these |

Question 3 Explanation:

Cost price of the transistor = 320

Profit 15%

Selling price = 320 x 1.15 = 368

Therefore the mark price will be

368+ 32 = Rs. 400

So the percentage will be

{(400 â€“ 320) / 320} x 100 = 25%

So the right option is (a)

Profit 15%

Selling price = 320 x 1.15 = 368

Therefore the mark price will be

368+ 32 = Rs. 400

So the percentage will be

{(400 â€“ 320) / 320} x 100 = 25%

So the right option is (a)

Question 4 |

In an examination, Richa obtained 20% moreÂ than Pankaj but 10% less than Pranav . If the marks obtained by Pankaj are 1080, find theÂ percentage marks obtained by PranavÂ if the full marks are 2000.

72% | |

86.66% | |

78.33% | |

None of these |

Question 4 Explanation:

Full marks = 2000

MarksÂ of Pankaj = 1080

Marks obtained by Richa = 1080 x 120/100 = 1296

Marks obtained by Pranav = (1296 x 110)/100 = 1440

Therefore the percentage of marks achieved by Pranav = 1440 /2000 x 100 = 72%

MarksÂ of Pankaj = 1080

Marks obtained by Richa = 1080 x 120/100 = 1296

Marks obtained by Pranav = (1296 x 110)/100 = 1440

Therefore the percentage of marks achieved by Pranav = 1440 /2000 x 100 = 72%

Question 5 |

RichaÂ spends 20% of her monthly income on herÂ household expenditure, 15% of the rest on books,Â 30% of the rest on clothes and saves the rest. OnÂ counting, she comes to know that she has finally savedÂ Rs. 9520. Find her monthly income

.Rs.Â 15000 | |

Rs. 10000 | |

Rs. 20000 | |

None of these |

Question 5 Explanation:

Let Income of Richa = 100

Expenditure

= 100 x 20% = 20

80 left

80 x 15% = 12

68 left

68 x 30% = 20.4

Therefore herÂ totalÂ expenditure was = 52.4

And her saving was = 47.6

So when saving was 47.6 her monthly income was = Rs. 100

When saving is 9520 her monthly income was = 100/47.6 x 9520 = 20000

So option (c) is the right answer.

Expenditure

= 100 x 20% = 20

80 left

80 x 15% = 12

68 left

68 x 30% = 20.4

Therefore herÂ totalÂ expenditure was = 52.4

And her saving was = 47.6

So when saving was 47.6 her monthly income was = Rs. 100

When saving is 9520 her monthly income was = 100/47.6 x 9520 = 20000

So option (c) is the right answer.

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