Percentage - Study Mode

[#306] The firm uses the following function to calculate the production out (PO) : PO = 5.3C 2 L 15 , where C = capital invested and L = labour employed. If the capital invested (C) increases by 20 percent, the change in PO will be :
Correct Answer

(C) 44% increase

Explanation

Solution: PO initial = 5.3C 2 L 15 PO new = 5.3 (1.2C) 2 L 15 = 1.44 (5.3C 2 L 15 ) = 1.44PO initial Increase in PO = 0.44PO initial ∴ Increase % = (0.44 × 100)% = 44%

[#307] Find the 92.5% of 550 = ?
Correct Answer

(B) 508.75

Explanation

Solution: = 92.5% of 550 = $$frac{925}{10}$$ × $$frac{1}{100}$$ × 550 = 508.75

[#308] 40% of 265 + 35% of 180 = 50% of ?
Correct Answer

(D) 338

Explanation

Solution: Let 40% of 265 + 35% of 180 = 50% of x Then, $$left( {frac{40}{{100}} imes 265}
ight)$$ xa0 + $$left( {frac{35}{{100}} imes 180}
ight)$$ xa0 = $$left( {frac{50}{{100}} imes x}
ight)$$ ⇒ 106 + 63 = $$frac{x}{2}$$ ⇒ x = 169 × 2 ⇒ x = 338

[#309] If a exceeds b by x%, then which one of the following equations is correct ?
Correct Answer

(D) $$a = b + frac{bx}{100}$$

Explanation

Solution: A exceeds b by x% ⇒ a = b + x% of b ⇒ a = b +$$frac{bx}{100}$$

[#310] 10% of 5 and 5% of 10 add up to
Correct Answer

(C) 1.0

Explanation

Solution: = 10% of 5 + 5% of 10 = $$left( {frac{{10}}{{100}} imes 5}
ight)$$ xa0 + $$left( {frac{{5}}{{100}} imes 10}
ight)$$ = 0.5 + 0.5 = 1.0