Question

What is the approx production of rice in year 1949–50?

• A. 1278890
• B. 264280
• C. 116263
• D. 140679

Hint:

“\(-d\%\) over previous year” means current \(=\) previous \(\times (1-d/100)\). To recover the previous value, divide by that factor (or multiply by \(\tfrac{100}{100-d}\)).

Answer 1

The Correct Option is D

From the table, for year \(1950\text{–}51\) the quantity is \(127{,}890\) and the \(\%\) change over the previous year is \(-09.09\%\).
Let the production in \(1949\text{–}50\) be \(P\). Then \[ 127890 = P \times (1 - 0.0909\overline{09}) = P \times \frac{10}{11}. \] Hence \[ P = 127890 \times \frac{11}{10} = 140679. \] \[ \boxed{140679} \]