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## Arithmetic : Level 1 Test -6

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Question 1 |

If the selling price of 14 pen-drives is equal to the cost price of 10 pen-drives, then what is the % loss?

28% | |

28.57% | |

34% | |

none |

Question 1 Explanation:

Let us assume the cost price of 1 pen drive is Rs. 10 .

So the Cost Price of 14 pen drives are = Rs. 140.

Selling price of 14 pen drives= Rs. 100

So 40 is lost for every 140 spent.

Loss = (40/140) x 100 = 400/14 = 28.57%

So option B is the right answer

So the Cost Price of 14 pen drives are = Rs. 140.

Selling price of 14 pen drives= Rs. 100

So 40 is lost for every 140 spent.

Loss = (40/140) x 100 = 400/14 = 28.57%

So option B is the right answer

Question 2 |

A certain sum of money amounts to Rs. 1250 at simple interest in 3 years and Rs. 1500 in 4 years.Â What is the sum and rate of interest?

Rs. 600 and 50% rate | |

Rs. 500 and 45% rate | |

Rs. 500 and 50% rate | |

Rs. 500 and 40% rate |

Question 2 Explanation:

Sum amounts to Rs. 1250 in 3 years

Sum amounts to Rs. 1500 in 4 years

So Interest is Rs. 250 in one year.

Since question said about the simple interest

We know simple interest remains constant for every year,

therefore, for three years Simple Interest will be Rs. 750

Thus, original principal = Rs. 500

Now we have to check the rate of Interest

We have P = Rs. 500

S.I.= Rs. 750

Time =3 years

Rate = (S.I. X 100) / (P x T)

Rate = 50%

Sum amounts to Rs. 1500 in 4 years

So Interest is Rs. 250 in one year.

Since question said about the simple interest

We know simple interest remains constant for every year,

therefore, for three years Simple Interest will be Rs. 750

Thus, original principal = Rs. 500

Now we have to check the rate of Interest

We have P = Rs. 500

S.I.= Rs. 750

Time =3 years

Rate = (S.I. X 100) / (P x T)

Rate = 50%

Question 3 |

Richa lent a part of Rs. 1500 to Natasha at 10% rate and rest of it at 7% per annum simple interest. If the total annual interest earned by her in 3 years was Rs. 396 , find the sum lent at 10%

300 | |

700 | |

500 | |

900 |

Question 3 Explanation:

We have principal value = 1500

Let the part = G

Therefore the rest sum at 7% = Rs. 1500 â€“ G

(G x 10/100 x 3) + (1500 â€“ G) x 7/100 x 3= 396

30G +31500 â€“ 21G =39600

Therefore, the required sum is Rs. 900

Let the part = G

Therefore the rest sum at 7% = Rs. 1500 â€“ G

(G x 10/100 x 3) + (1500 â€“ G) x 7/100 x 3= 396

30G +31500 â€“ 21G =39600

Therefore, the required sum is Rs. 900

Question 4 |

At what rate of simple interest per annum will a sum become 4/3 of itself in 2 years?

16.66% | |

12% | |

14.56% | |

none |

Question 4 Explanation:

Let the principal be P

After two years the amount will be 4/3P

So the Simple Interest will be P/3

Rate = (100 x S.I.) / P x T

Rate = (100 x P/3) / P x 2 = 16.66%

After two years the amount will be 4/3P

So the Simple Interest will be P/3

Rate = (100 x S.I.) / P x T

Rate = (100 x P/3) / P x 2 = 16.66%

Question 5 |

Megha deposited 4500 for 4 years at simple interest. On maturity, she received Rs. 240 as interest What will be the annual rate of interest?

1.33% | |

2.33% | |

3% | |

3.33% |

Question 5 Explanation:

As given in the previous question

Rate = (100 x S.I.) / (P x T)

Rate = (100 x 240)/ 4500 x 4 = 1.33%

Rate = (100 x S.I.) / (P x T)

Rate = (100 x 240)/ 4500 x 4 = 1.33%

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