Breakup G strategy | Percentages | Easy
A certain amount of money was divided among Pinu, Meena, Rinu and Seema. Pinu received 20% of the total amount and Meena received 40% of the remaining amount. If Seema received 20% less than Pinu, the ratio of the amounts received by Pinu and Rinu is
B) 2 : 1
C) 1 : 2
D) 8 : 5
Answer & Explanation
Correct answer A) 5 : 8
Suppose total = 100.
| Person | Basis of Calculation | Amount Received |
| Pinu | 20% of total | 20 |
| Remaining after Pinu | 100 − 20 | 80 |
| Meena | 40% of remaining (40% of 80) | 32 |
| Seema | 20% less than Pinu → 80% of 20 | 16 |
| Total given so far | 20 + 32 + 16 | 68 |
| Rinu | Remaining → 100 − 68 | 32 |
So Pinu got 20, Rinu got 32 thus ratio = 20 : 32 = 5 : 8
Breakup G strategy | Ratios + Table | Medium
The ratio of expenditures of Lakshmi and Meenakshi is 2 : 3, and the ratio of income of Lakshmi to expenditure of Meenakshi is 6 : 7. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is 4 : 9, then the ratio of their incomes is
A) 3 : 5
B) 5 : 6
C) 7 : 8
D) 2 : 1
Answer & Explanation
Correct answer A) 3 : 5
Let Lakshmi’s expenditure = 2x, Meenakshi’s expenditure = 3x (since their expenditures are in ratio 2:3).
Lakshmi’s income is given to be in ratio 6:7 with Meenakshi’s expenditure so Lakshmi’s income = (6/7) × (3x) = (18/7) x.
Then Lakshmi’s saving = income − expenditure = (18/7 x) − 2x = (4/7) x.
Let Meenakshi’s income = y, so her saving = y − 3x.
Given their savings ratio is 4:9 , (4/7 x) : (y − 3x) = 4 : 9.
So (4/7 x) / (y − 3x) = 4/9 , solving gives y = (30/7) x.
Hence incomes are (18/7 x) : (30/7 x) = 18 : 30 = 3 : 5
Visual Lens G Strategy 1.2/0.8 | Profit Loss | Easy
An item with a cost price of Rs. 1650 is sold at a certain discount on a fixed marked price to earn a profit of 20% on the cost price. If the discount was doubled, the profit would have been Rs. 110. The rate of discount, as a percentage, at which the profit percentage would be equal to the rate of discount, is nearest to
A) 12
B) 18
C) 16
D) 14
Answer & Explanation
Correct Answer D) 14
Given: CP = 1650, MP = 2200
Condition: profit % = discount %
| Discount % | SP = MP × (1 − d) | Profit (SP − 1650) | Profit % | Match? |
| A. 12% | 2200 × 0.88 = 1936 | 286 | ≈ 17% | ❌ |
| B. 18% | 2200 × 0.82 = 1804 | 154 | ≈ 9% | ❌ |
| C. 16% | 2200 × 0.84 = 1848 | 198 | ≈ 12% | ❌ |
| D. 14% | 2200 × 0.86 = 1892 | 242 | ≈ 14.7% | ✅ |
Visual Lens G strategy | 1.2 / 0.8 Percentages | Moderate
A loan of Rs 1000 is fully repaid by two instalments of Rs 530 and Rs 594, paid at the end of first and second year, respectively. If the interest is compounded annually, then the rate of interest, in percentage, is _____
A) 10
B) 9
C) 8
D) 11
Answer & Explanation
Correct Answer is c) 8%
Let the annual rate of interest be r%. The present value of the two instalments must equal the loan amount.
1000 = 530 / (1 + r/100) + 594 / (1 + r/100)²
| Rate (%) | 530 ÷ (1+r) | 594 ÷ (1+r)² | Total PV | Match |
| 10 | ≈ 481.8 | ≈ 491.0 | ≈ 972.8 | ❌ |
| 9 | ≈ 486.2 | ≈ 500.2 | ≈ 986.4 | ❌ |
| 8 | ≈ 490.7 | ≈ 508.9 | ≈ 999.6 | ✅ |
| 11 | ≈ 477.5 | ≈ 482.2 | ≈ 959.7 | ❌ |
