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An amount of Rs 8500 becomes Rs 9500 in 3 years time at some simple rate of interest. How much the amount of 10,200 will become in 5 years at the same rate of simple interest?

1. Rs 11800
2. Rs 12000
3. Rs 12200
4. Rs 12500

साधारण ब्याज की किसी दर पर 8500 रुपये की एक धनराशि 3 वर्षों में 9500 रुपये हो जाती है। उसी साधारण ब्याज की दर पर 10,200 रुपये की धनराशि 5 वर्षों में कितनी हो जाएगी ?

1. 11800 रुपये
2. 12000 रुपये
3. 12200 रुपये
4. 12500 रुपये

This Question came in

UGC-NET-English-01-March-2023-Shift-2-Q21

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Detailed Explanation & Answer

Interest in 3years = 9500-8500 = 1000
Simple Interest (SI) = Principal (P) * Rate (R) * Time (T)/100
1000 = 8500*R*3/100
R = 1000*100/8500*3
R = 200/17*3 = 200/51

Now, SI for 10,200 at r = 200/51
SI = 10200*(200/51)*5/100
SI = 200*2*5 = 2000

therefore, Amount = P+SI = 10200+2000 = 12200.

3 वर्षों में ब्याज = 9500-8500 = 1000
साधारण ब्याज (एसआई) = मूलधन (पी) * दर (आर) * समय (टी)/100
1000 = 8500*आर*3/100
आर = 1000*100/8500*3
आर = 200/17*3 = 200/51

अब, 10,200 के लिए एसआई r = 200/51 पर
एसआई = 10200*(200/51)*5/100
एसआई = 200*2*5 = 2000

इसलिए, राशि = P+SI = 10200+2000 = 12200.

The Correct Answer is 3

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