Question: vikramasinha mahatha 24% ka warshika poliyak aya kerena bankuwakin vyaparika nayak lesa rupiyal 30 000 ka mudalak gena atha ema naya mudala samana masika varika 6 kin geawa nima kala yuthu athara , poliya aya karanu labanne heena vana shesha kramayata nam ohu gewiya yuthu masika varikayak soyanna
1. **Prashnayata pilibanda vivarana:**
Vikramasinha mahatha bankuwakin 24% warshika poliyak (annual interest rate) labaganna thiyenawa. Ohu rupiyal 30,000 ka mudalaka (principal) atha. Eya samana masika varika (equal monthly installments) 6 kin geawa (6 months) athara nirma karanna ona.
2. **Sthana prashna:**
Masika varika (monthly installment) kramaya hekiya karanna.
3. **Upayogiya sutra:**
Samana masika varika (EMI) ganima:
$$ EMI = P \times \frac{r(1+r)^n}{(1+r)^n - 1} $$
Mehemai:
- $P$ = mudalaka (principal) = 30000
- $r$ = masika byaajaya (monthly interest rate) = $\frac{24\%}{12} = 2\% = 0.02$
- $n$ = masika sankhya (number of months) = 6
4. **Ganima:**
$$ EMI = 30000 \times \frac{0.02(1+0.02)^6}{(1+0.02)^6 - 1} $$
5. **Pahadili karana lesa:**
$$ (1+0.02)^6 = 1.02^6 $$
Ganima karamu:
$$ 1.02^6 = 1.126162 $$ (approx)
6. **Sutrayen ganima:**
$$ EMI = 30000 \times \frac{0.02 \times 1.126162}{1.126162 - 1} = 30000 \times \frac{0.02252324}{0.126162} $$
7. **Sahajikarana:**
$$ \frac{0.02252324}{0.126162} = 0.1785 $$ (approx)
8. **Antima ganima:**
$$ EMI = 30000 \times 0.1785 = 5355 $$
9. **Uttara:**
Vikramasinha mahatha samana masika varika 6 kin geawa rupiyal 5355 ta samana karanna ona.