Answer: D
Let’s assume the principal amount \((p)=x \) rupees
Time \((t)= 4\) years
Rate of interest \((r)= 10\%\)
\(\therefore\) Total interest = \(\cfrac{ptr}{100}\)
= \(\cfrac{x\times 4 \times 10}{100}\)
= \(\cfrac{2x}{5}\)
According to the given condition, \(x+\cfrac{2x}{5}=14000\)
or, \(\cfrac{5x+2x}{5}=14000\)
or, \(\cfrac{7x}{5}=14000\)
or, \(x=14000\times\cfrac{5}{7}=10000\)
\(\therefore\) The principal amount is 10,000 rupees.
Let’s assume the principal amount \((p)=x \) rupees
Time \((t)= 4\) years
Rate of interest \((r)= 10\%\)
\(\therefore\) Total interest = \(\cfrac{ptr}{100}\)
= \(\cfrac{x\times 4 \times 10}{100}\)
= \(\cfrac{2x}{5}\)
According to the given condition, \(x+\cfrac{2x}{5}=14000\)
or, \(\cfrac{5x+2x}{5}=14000\)
or, \(\cfrac{7x}{5}=14000\)
or, \(x=14000\times\cfrac{5}{7}=10000\)
\(\therefore\) The principal amount is 10,000 rupees.