Ahmed has a recurring deposit account in a bank.He deposits Rs 5,500 per month for 2 years.If he gets Rs 1,46,437.5 at the time of maturity. Find the interest paid by the bank.
A
10.5%
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B
30%
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C
35%
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D
None of the above
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Solution
The correct option is A10.5%
Given:
PQR is tangent at Q.
O is the center of the circle.
Hence, OQ is perpendicular to PQR (Line passing through center is perpendicular to tangent)
∠OQR=90°
∠SQR=50°
∠SQO=∠OQR−SQR=40°
Similarly,
∠OQT=90°−70°=20°
OQ=OS (radius of the circle)
hence, ∠SQO=∠OSQ=40° (angles opposite to equal sides are equal)
Hence ∠TQS=∠SQO+∠OQT=60°
In △OQS
∠QOS=180−∠SQO−∠OSQ=180°−40°−40°=100°
∠QTS=∠QOS2=50° (Angle subtended at center is twice the angle subtended on the circumference)