ICSE Class 9 Answered

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Asked by aastharoy997 | 07 May, 2020, 10:21: AM

Expert Answer

Question: A sum of Rs. 20,000 was invested partly at 10% p.a. simple interest and partly at 15% p.a. simple interest. If the total interest on the sum was Rs. 2400 at the end of one year, find the sum invested at 10% p.a.

Solution:

Let Rs. P₁ and Rs. P₂ invested partly at 10% p.a. simple interest and 15% p.a. simple interest respectively.

I₁=(P₁ x N x R)/100 = 10P₁/100 and I₂=(P₂ x N x R)/100=15P₂/100

According to the question,

P₁+P₂ = 20000 ... (i)

And, I₁+I₂ = 2400

rightwards double arrow fraction numerator 10 P subscript 1 over denominator 100 end fraction plus fraction numerator 15 P subscript 2 over denominator 100 end fraction equals 2400 rightwards double arrow 10 P subscript 1 plus 15 P subscript 2 equals 240000 rightwards double arrow 2 P subscript 2 plus 3 P subscript 2 equals 48000 space... space left parenthesis i i right parenthesis M u l t i p l y i n g space e q u a t i o n space left parenthesis i right parenthesis space b y space 2 comma space w e space h a v e 2 P subscript 1 plus 2 P subscript 2 equals 40000 space... space left parenthesis i i i right parenthesis S u b t r a c t i n g space left parenthesis i i i right parenthesis space f r o m space left parenthesis i i right parenthesis comma space w e space h a v e P subscript 2 equals 8000 S u b s t i t u t i P n g space i n space left parenthesis i right parenthesis comma space w e space h a v e P subscript 1 plus 8000 equals 20000 rightwards double arrow P subscript 1 equals 12000 H e n c e comma space t h e space s u m space i n v e s t e d space a t space 10 percent sign space p. a. space i s space R s. space 12000.

Answered by Renu Varma | 07 May, 2020, 11:44: AM

ICSE Class 9 Answered

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