A plantation company owns five tea estates. For the last season, the table gives each estate's plucking area, the green leaf harvested per hectare, the recovery (made tea obtained as a percentage of green leaf by weight) and the share of CTC tea in its made tea. The rest of each estate's made tea is Orthodox tea.
| Estate | Area (hectares) | Green leaf yield (tonnes/hectare) | Recovery (%) | CTC share of made tea (%) |
|---|---|---|---|---|
| Amguri | 400 | 9.0 | 23.0 | 75 |
| Bhelaghat | 250 | 8.0 | 22.0 | 60 |
| Chandmari | 320 | 9.5 | 22.5 | 50 |
| Dolkhola | 500 | 8.5 | 22.0 | 80 |
| Emrang | 180 | 10.0 | 24.0 | 40 |
Made tea (tonnes) = Area × Green leaf yield × Recovery/100.
All made tea was sold during the season: CTC tea at ₹210 per kg and Orthodox tea at ₹340 per kg. (1 tonne = 1,000 kg; 1 crore = 10⁷.)
| Estate | Area (hectares) | Green leaf yield (tonnes/hectare) | Recovery (%) | CTC share of made tea (%) |
|---|---|---|---|---|
| Amguri | 400 | 9.0 | 23.0 | 75 |
| Bhelaghat | 250 | 8.0 | 22.0 | 60 |
| Chandmari | 320 | 9.5 | 22.5 | 50 |
| Dolkhola | 500 | 8.5 | 22.0 | 80 |
| Emrang | 180 | 10.0 | 24.0 | 40 |
Made tea (tonnes) = Area × Green leaf yield × Recovery/100.
All made tea was sold during the season: CTC tea at ₹210 per kg and Orthodox tea at ₹340 per kg. (1 tonne = 1,000 kg; 1 crore = 10⁷.)
Question 1
Single correct option
Which estate earned the highest revenue from tea sales?
- A. Amguri
- B. Chandmari
- C. Dolkhola
- D. Emrang
Show answer and solution
Answer: (C) Dolkhola
Working table:
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Dolkhola: 935 t × ₹236/kg = ₹22.07 crore, ahead of Amguri (828 × 242.5 = ₹20.08 crore). Dolkhola wins on volume despite the lowest average price, because its made tea is 107 t more than Amguri's.
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Dolkhola: 935 t × ₹236/kg = ₹22.07 crore, ahead of Amguri (828 × 242.5 = ₹20.08 crore). Dolkhola wins on volume despite the lowest average price, because its made tea is 107 t more than Amguri's.
Question 2
Numerical answer
For how many estates was the made tea produced per hectare more than 2 tonnes?
Show answer and solution
Answer: 3
Working table:
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Made tea per hectare = yield × recovery: Amguri 9 × 0.23 = 2.07, Bhelaghat 8 × 0.22 = 1.76, Chandmari 9.5 × 0.225 = 2.1375, Dolkhola 8.5 × 0.22 = 1.87, Emrang 10 × 0.24 = 2.4.
Above 2 tonnes: Amguri, Chandmari, Emrang → 3.
Tip: area is irrelevant here — only yield × recovery matters.
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Made tea per hectare = yield × recovery: Amguri 9 × 0.23 = 2.07, Bhelaghat 8 × 0.22 = 1.76, Chandmari 9.5 × 0.225 = 2.1375, Dolkhola 8.5 × 0.22 = 1.87, Emrang 10 × 0.24 = 2.4.
Above 2 tonnes: Amguri, Chandmari, Emrang → 3.
Tip: area is irrelevant here — only yield × recovery matters.
Question 3
Numerical answer
What was the total quantity of Orthodox tea, in tonnes, produced by the five estates together?
Show answer and solution
Answer: 1171.2
Working table:
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Orthodox = made tea × (100 − CTC share)%:
- Amguri 828 × 0.25 = 207
- Bhelaghat 440 × 0.40 = 176
- Chandmari 684 × 0.50 = 342
- Dolkhola 935 × 0.20 = 187
- Emrang 432 × 0.60 = 259.2
Total = 1171.2 tonnes.
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Orthodox = made tea × (100 − CTC share)%:
- Amguri 828 × 0.25 = 207
- Bhelaghat 440 × 0.40 = 176
- Chandmari 684 × 0.50 = 342
- Dolkhola 935 × 0.20 = 187
- Emrang 432 × 0.60 = 259.2
Total = 1171.2 tonnes.
Question 4
Single correct option
Which estate earned the highest revenue per hectare of plucking area?
- A. Amguri
- B. Chandmari
- C. Dolkhola
- D. Emrang
Show answer and solution
Answer: (D) Emrang
Working table:
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Revenue per hectare = made tea per ha × average price: Amguri 2.07 × 242.5 ≈ ₹5.02 lakh; Bhelaghat 1.76 × 262 ≈ ₹4.61 lakh; Chandmari 2.1375 × 275 ≈ ₹5.88 lakh; Dolkhola 1.87 × 236 ≈ ₹4.41 lakh; Emrang 2.4 × 288 ≈ ₹6.91 lakh.
Highest: Emrang — it has both the best made-tea yield and the richest Orthodox mix. (t/ha × ₹/kg × 1000 gives ₹ per ha.)
| Estate | Green leaf (t) | Made tea (t) | Made tea per ha (t) | Orthodox (t) | Avg price (₹/kg) | Revenue (₹ crore) |
|---|---|---|---|---|---|---|
| Amguri | 3,600 | 828 | 2.07 | 207 | 242.5 | 20.08 |
| Bhelaghat | 2,000 | 440 | 1.76 | 176 | 262 | 11.53 |
| Chandmari | 3,040 | 684 | 2.1375 | 342 | 275 | 18.81 |
| Dolkhola | 4,250 | 935 | 1.87 | 187 | 236 | 22.07 |
| Emrang | 1,800 | 432 | 2.40 | 259.2 | 288 | 12.44 |
Average price = CTC share × 210 + Orthodox share × 340.
Revenue per hectare = made tea per ha × average price: Amguri 2.07 × 242.5 ≈ ₹5.02 lakh; Bhelaghat 1.76 × 262 ≈ ₹4.61 lakh; Chandmari 2.1375 × 275 ≈ ₹5.88 lakh; Dolkhola 1.87 × 236 ≈ ₹4.41 lakh; Emrang 2.4 × 288 ≈ ₹6.91 lakh.
Highest: Emrang — it has both the best made-tea yield and the richest Orthodox mix. (t/ha × ₹/kg × 1000 gives ₹ per ha.)
Question 5
Single correct option
Next season Dolkhola's area and green leaf yield stay the same, but its recovery rises to 23%. All the additional made tea is Orthodox, while its CTC quantity and all prices remain unchanged. By approximately what percentage does Dolkhola's revenue increase?
- A. 4.5%
- B. 5.2%
- C. 6.5%
- D. 7.8%
Show answer and solution
Answer: (C) 6.5%
Green leaf = 500 × 8.5 = 4,250 t. Made tea rises from 4,250 × 0.22 = 935 t to 4,250 × 0.23 = 977.5 t: an extra 42.5 t, all Orthodox.
Extra revenue = 42,500 kg × ₹340 = ₹1.445 crore.
Old revenue = 935,000 kg × ₹236 = ₹22.066 crore (CTC 748 t × 210 + Orthodox 187 t × 340).
Increase = 1.445 / 22.066 ≈ 6.55% → 6.5%.
Why not 4.5%: that is roughly the tonnage increase (42.5/935), ignoring that the extra tea is sold at the higher Orthodox price (340 vs average 236).
Extra revenue = 42,500 kg × ₹340 = ₹1.445 crore.
Old revenue = 935,000 kg × ₹236 = ₹22.066 crore (CTC 748 t × 210 + Orthodox 187 t × 340).
Increase = 1.445 / 22.066 ≈ 6.55% → 6.5%.
Why not 4.5%: that is roughly the tonnage increase (42.5/935), ignoring that the extra tea is sold at the higher Orthodox price (340 vs average 236).
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