Question
Aman bought a goat and a hen, with the goat's cost price
being ₹1200 more than the hen's. He sold the hen at a 20% loss and the goat at a 25% profit, resulting in an overall profit of 13.75%. If, instead, he sold the goat at a 25% loss and the hen at a 40% profit, what would be his overall profit or loss percentage?Solution
Cost Price of Hen = x Cost Price of Goat = x + 1200 SP of Hen = x * 80/100 = 4x/5 SP of Goat = (x + 1200) * 125/100 = 5/4 * (x + 1200) (x + x + 1200) * 113.75/100 = 4x/5 + 5/4 * (x + 1200) 227.5x/100 + 1365 = 4x/5 + 5x/4 + 1500 0.225x = 135 x = 600 New SP of Hen and Goat = 600 * 140/100 + (600 + 1200) * 75/100 = 840 + 1350 = 2190 Required loss percentage = (2400 – 2190)/2400 * 100 = 8.75%
2387.56 + ? – 2248.14 = 1765.45 – 1574.23
15.78% of (287 + 302) + 12³ = ?% of 170 + 8 × 14 + 3²
? = (5.8)2 + (8.9)2 + (4.7) 2 + 24.7% of 20
49.99% of 639.99 + 159.98% of 49.99 = ?2
(14.66)2 + (343.84 ÷ 3.88 - 55.87) = ? + 91.23
(18.21)² - (12.9)² = 20% of 649.9 - ? + 400.033
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
49.96% of 120.21 + √(15) ÷ 1.87 × 4.41 = ?
(3/8) × 479.84 + (2/5) × 449.67 = ? × 12.25
64.889% of 399.879 + √? = 54.90% of 799.80 – 44.03% of 400.21