Question

# Saumya borrowed ₹15,000 at the rate of 12% p.a. for two years and another amount at the rate of 15% for two years. The total interest paid by her was ₹9,000. Find the amount she borrowed at 15% p.a.

A
31,000
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B
28,000
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C
33,000
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D
18,000
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Solution

## The correct option is D ₹18,000Interest paid for borrowing ₹15,000 at the rate of 12% p.a. for two years =15,000×12×2100=₹3,600 Let ₹x be borrowed for two years at the rate of 15% p.a. Interest =x×15×2100=₹3x10 The total interest paid =₹9,000 ⇒₹4500+₹3x10=₹9,000 ⇒3x10=9,000−3,600 ⇒3x10=5,400 ⇒x10=1,800 ⇒x=18,000 The amount borrowed at 15% p.a. is ₹18,000.

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