A number is divided into two parts in such a way that 80% of 1st part is 3 more than 60% of 2nd part and 80% of 2nd part is 6 more than 90% of the 1st part. Then the number is:
Answer & explanation
Correct answer: option 2
ATQ,
⇒ 80% A - 60% B = 3 ..........(i)
⇒ -90% A + 80% B = 6 ..........(ii)
(i) × 9 and (ii) × 8 and add, we get
⇒ 720% A - 540% B = 27
⇒ -720% A + 640 % B = 48
⇒ 100% B = 75
⇒ B = 75
Value of B putting in equation (i)
⇒ 80% A - (60% × 75) = 3
⇒ \(\frac{4}{5}\)A - \(\frac{3}{5}\) × 75 = 3
⇒ \(\frac{4}{5}\)A - 45 = 3
⇒ \(\frac{4}{5}\)A = 48
⇒ A = 48 × \(\frac{5}{4}\)
⇒ A = 60
⇒ Hence the number is (A + B) = 60 + 75 = 135