If \(6\frac{2}{3}\)% of \((P+2)=43\) and \((P-3)\)% of \(40=x\), then find \(x\).
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 256
The first condition gives P; the second then gives x. Here \(6\frac{2}{3}\%\) is the fraction \(\frac{1}{15}\), because \(\frac{20}{3}\div100=\frac{1}{15}\).
Finding P (\(\frac{1}{15}\) of P + 2 is 43):
\(\displaystyle \frac{P+2}{15}=43\)
\(P+2=645\), so \(P=643\)
Finding x (P − 3 per cent of 40):
\(P-3=640\)
\(\displaystyle x=\frac{640}{100}\times40=256\)