[4 marks sum]

Question 14 Marks

Simple interest on a certain sum is $\frac{9}{16}$ of the sum. Find the rate per cent and the time if both are numerically equal.

Answer

$7 \frac{1}{2} \%$ p.a., $7 \frac{1}{2}$ years

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Question 24 Marks

At what rate per cent of simple interest will a sum of money double itself in 12 years?

Answer

$8 \frac{1}{3} \%$ p.a.

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Question 34 Marks

At what rate per cent per annum will the simple interest on $₹ 6720$ be $₹ 1911$ in 3 years 3 months?

Answer

$8 \frac{3}{4} \%$

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Question 44 Marks

At what rate per cent per annum will ₹ 1625 amount to ₹ 2080 in $3 \frac{1}{2}$ years?

Answer

$8 \%$ p.a.

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Question 54 Marks

Ashish lent $₹ 10500$ to Sunidhi at $7 \%$ per annum simple interest. After 5 years, Sunidhi discharged the debt by giving a watch and ₹ 13000 in cash. What is the value of the watch?

Answer

₹ 1175

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Question 64 Marks

Divide a sum of $₹ 13500$ into two parts such that if one part be lent at $8 \frac{1}{3} \%$ per annum for 2 years 9 months and the other at $7 \frac{1}{2} \%$ per annum for 1 year 8 months, the total interest received is ₹ 2375 .

Answer

₹ 6600 , ₹ 6900

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Question 74 Marks

Find the simple interest on ₹ 8600 from 18th October, 2006 to 13th March, 2007 at $8 \%$ per annum. Also find the amount.

Answer

₹ 275.20 , ₹ 8875.20

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Question 84 Marks

The simple interest on a certain sum for 3 years at $8 \%$ per annum is $₹ 96$ more than the simple interest on the same sum for 2 years at $9 \%$ per annum. Find the sum.

Answer

₹ 1600

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Question 94 Marks

A lends $₹ 2500$ to $B$ and a certain sum to $C$ at the same time at $7 \%$ per annum simple interest. If, after 4 years, A altogether receives ₹ 1120 as interest from B and C, find the sum lent to $C$.

Answer

₹ 1500

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Question 104 Marks

A sum of money lent at simple interest amounts to $₹ 3224$ in 2 years and $₹ 4160$ in 5 years. Find the sum and the rate of interest.

Answer

₹ $2600,12 \%$ p.a.

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MATHS [4 marks sum]

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