mohan purchased a TV set for ₹12000. he promised to pay back the full amount along with interest after 3 years. if the shopkeeper charges at the rate of 20%per annum calculate the compound interest he will have to pay after 2 years
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Given :-
- Price of TV = Principal = Rs.12000 .
- Rate = 20% per annum .
- Time = 3 years .
To Find :-
- The compound interest he will have to pay after 3 years ?
Solution :-
we know that, when rate is compounded annually ,
- A = P[1 + (R/100)]ᵀ
- CI = A - P
- Where,
- A = Amount .
- P = Principal .
- R = Rate of interest per annum .
- T = Time .
- CI = Compound interest .
so,
→ A = 12000[1 + (20/100)]³
→ A = 12000[1 + (1/5)]³
→ A = 12000(6/5)³
→ A = (12000 * 216)/125
→ A = Rs.20736 .
therefore,
→ CI = A - P
→ CI = 20736 - 12000
→ CI = Rs.8736 (Ans.)
Hence, the compound interest he will have to pay after 3 years is Rs.8736 .
Learn more :-
*द.सा.द.शे 10 % चक्रवाढव्याज दराने 2 वर्षांत 52000 रुपयांची रास 57600 रुपये होते. तर चक्रवाढव्याज किती?*
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