एक राशि उधार ली गई और ₹980 की दो समान वार्षिक किश्तों में वापस भुगतान की गई, जिसमें 4% चक्रवृद्धि ब्याज दिया गया। उधार ली गई राशि (निकटतम दहाई में ₹) थी:

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SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 3)
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  1. 1,960
  2. 1,850
  3. 1,760
  4. 2,050

Answer (Detailed Solution Below)

Option 2 : 1,850
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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
25 Qs. 50 Marks 20 Mins

Detailed Solution

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दिया गया है:

प्रत्येक किश्त = ₹ 980

ब्याज की दर = 4%

वर्षों की संख्या = 2

प्रयुक्त सूत्र:

चक्रवृद्धि ब्याज की स्थिति में, उधार ली गई धनराशि = x/(1 + r/100) + x/(1 + r/100)2 + ..... + x/(1 + r/100)n

गणना:

उधार ली गई धनराशि =

=

= [980 × (25/26)] + [980 × (25/26) × (25/26)]

= 980 [(25/26) + (25/26) × (25/26)]

=

= 980 × [(650 + 625)/676]

= 980 × (1275/676)

= 1848.372...

≈ 1850 (निकटतम दहाई में )

उधार ली गई राशि (निकटतम दहाई में ₹) ₹ 1850 थी।

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