Q

# Ashok has to deposit a to

Ashok has to deposit a total of Rs.18000 in two savings schemes of a bank, of which the first one yields a simple interest of 6% p.a. and the second one yields 8% p.a. simple interest. How much should Ashok deposit in the first scheme so that the total amount deposited earns interest at a rate of 7.6% p.a.?

• Option 1)

Rs.4400

• Option 2)

Rs.3600

• Option 3)

Rs.7200

• Option 4)

Rs.3500

• Option 5)

Rs.5600

Views

First calculate interest = $=\frac{7.6}{100} \times 18000 = 1368$

If we lent the whole amount sum at 8 % rate the interest $= \frac{8}{100}\times 18000 = 1440 Rs.$

Difference in original interest and this assumed interest$= 72 \: Rs.$

It is because the difference in rate of interest $= 8-6 = 2$

So the sum lent in the scheme which gives 6% interest is $= (\frac{72}{2})\times 100 = 3600$

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