Breakup G Strategy: Ratios
The ratio of the number of coins in boxes A and B was 17:7. After 108 coins were shifted from box A to box B, this ratio became 37:20. The number of coins to be further shifted from box A to box B to make this ratio 1:1 is:
[TITA]
Solution & Explanation
Correct Answer: 272
Let the number of coins in Box A be 17x and in Box B be 7x.
After shifting 108 coins:
New number of coins in A = 17x – 108, in B = 7x + 108.
The ratio becomes 37:20, so we set up the equation:
(17x – 108) / (7x + 108) = 37 / 20
Solving this gives x = 76.
Coins in A = 17 * 76 = 1292, and in B = 7 * 76 = 532.
After shifting 108 coins:
A has 1184 coins, and B has 640 coins.
To make the ratio 1:1:
Set up the equation for the 1:1 ratio:
(1184 – y) / (640 + y) = 1
Solving gives y = 272.
Answer 272
Breakup G Strategy | 1.2 / 0.8 Percentage + Profit Loss | Moderate
The monthly sales of a product from January to April were 120, 135, 150 and 165 units respectively. The cost per unit of the product was Rs 240 per unit and a fixed marked price was used for the product in all the four months. However, 20%, 10% and 5% discount on the marked price was offered in January, February, March respectively while no discount were given in April.If the total profit from January to April was Rs 138825, then the marked price (in Rs) is equal to, say:
1.515
2.525
3.520
4.510
Solution & Explanation
Correct Answer: 2
Given: Units sold: January (120), February (135), March (150), April (165)
Cost per unit: Rs 240
Discounts: 20% (January), 10% (February), 5% (March), 0% (April)
Total profit: Rs 138,825
Let M be the marked price.
Revenue for Each Month
January: 120 × 0.80M = 96M
February: 135 × 0.90M = 121.5M
March: 150 × 0.95M = 142.5M
April: 165 × M = 165M
Total Revenue = 96M + 121.5M + 142.5M + 165M = 525M
Total Cost = (120 + 135 + 150 + 165) × 240 = 136800
Profit = Revenue – Cost
138825 = 525M – 136800
525M = 275625
M = 275625 / 525 = 525
The marked price M = Rs 525, so the correct answer is Option 2.
