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32 vote

The sum of money which when given on compound interest at 18% per annum would fetch Rs.960 more when the Interest Is payable half yearly than when It was payable annually for 2 years Is :

Asked on by | Votes 32 | Views: 2350 | Tags: mathematics     | compound interest     | quantitative aptitude     | ssc     | Add Bounty

The sum of money which when given on compound interest at 18% per annum would fetch Rs.960 more when the Interest Is payable half yearly than when It was payable annually for 2 years Is :
1). Rs.60,000
2). Rs.30,000
3). Rs.40,000
4). Rs.50,000

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2 answers

-2 vote
Answered by on | Votes -2 |
Answer for this question is option 4

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43 vote
Answered by on | Votes 43 |

.When the interest is payable half
yearly,
= 9% per half annum
Time = 4 half years
Let the principal be Rs. P

C.I. = P $(1+\frac{(R)^{T}}{100})$ -1

= P [1.4116 – 1] = Rs. 0.4116 P

According to the question

P[$(1+\frac{(18)^{2}}{100})$-1]

= P (1.3924 – 1) = Rs. 0.3924 P
According to the question,
0.4116P – 0.3924P = 960
 0.0192P = 960

P = $\frac{960}{0.0192}$

= Rs. 50000

Accepted Answer