Comprehension
The following table gives the tariff [in paise per kilo-watthour (kWh)] levied by the UPSEB in 1994–95, in four sectors and the regions within them. The table also gives the percentage change in the tariff as compared to 1991–92.
| Sector | Region 1 | Region 2 | Region 3 | Region 4 | Region 5 | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| P/kWh | % incr. | P/kWh | % incr. | P/kWh | % incr. | P/kWh | % incr. | P/kWh | % incr. | |
| Sector 1 | $425$ | $+15$ | $472$ | $+5$ | $420$ | $-4$ | $415$ | $+8$ | $440$ | $+10$ |
| Sector 2 | $430$ | $+12$ | $468$ | $+8$ | $448$ | $+7$ | $423$ | $-3$ | $427$ | $+11$ |
| Sector 3 | $428$ | $+8$ | $478$ | $-4$ | $432$ | $+6$ | $441$ | $+10$ | $439$ | $+8$ |
| Sector 4 | $434$ | $-5$ | $470$ | $+15$ | $456$ | $+10$ | $451$ | $+12$ | $446$ | $-12$ |
The UPSEB supplies power under four categories: urban (25%), domestic (20%), industrial (40%) and rural (15%). In 1994-95, the total power produced by the UPSEB was, 7875 megawatts.
Question: 1
In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?
In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?
Show Hint
When a sector's consumption changes proportionally, adjust using the multiplicative inverse of the percentage change factor.
Updated On: Aug 6, 2025
- 1,312 megawatts
- 1,422 megawatts
- 1,750 megawatts
- None of these
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The Correct Option is B
Solution and Explanation
Total power in 1994-95 = 7875 MW
Rural share = 15% of 7875 = 1181.25 MW (in 1994-95)
Domestic share in 1994-95 = 20% of 7875 = 1575 MW
Given that domestic consumption in 1994-95 is 90% of its 1991-92 level: \[ \text{Domestic}_{91-92} = \frac{1575}{0.9} = 1750\ \text{MW} \] Total power in 1991-92 = Rural + Domestic + Urban + Industrial.
But rural sector in 1991-92 = Total(91-92) × 15%. Since percentage distribution is constant, Rural(91-92) = \( \frac{1181.25}{0.85} \times 0.15 \approx 1422\ \text{MW}\).
Rural share = 15% of 7875 = 1181.25 MW (in 1994-95)
Domestic share in 1994-95 = 20% of 7875 = 1575 MW
Given that domestic consumption in 1994-95 is 90% of its 1991-92 level: \[ \text{Domestic}_{91-92} = \frac{1575}{0.9} = 1750\ \text{MW} \] Total power in 1991-92 = Rural + Domestic + Urban + Industrial.
But rural sector in 1991-92 = Total(91-92) × 15%. Since percentage distribution is constant, Rural(91-92) = \( \frac{1181.25}{0.85} \times 0.15 \approx 1422\ \text{MW}\).
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Question: 2
In the given two years, what is the total tariff paid by the urban sector?
In the given two years, what is the total tariff paid by the urban sector?
Show Hint
Always keep units consistent—convert paise to rupees at the end to avoid intermediate confusion.
Updated On: Aug 6, 2025
- Rs. 22.4 lakh
- Rs. 21.6 lakh
- Rs. 27.2 lakh
- Cannot be determined
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The Correct Option is B
Solution and Explanation
Urban share = 25% of 7875 = 1968.75 MW in 1994-95.
Average tariff for urban = Mean of region tariffs for each sector weighted equally. From table, sum of P/kWh for Region 1 in Sector 1 to 4 = \(425+430+428+434 = 1717\). Divide by 4 = \(429.25\ \text{paise}\) = Rs. 4.2925/kWh.
Cost = \(1968.75 \times 1000 \times 4.2925 \approx 8,445,703.125\ \text{paise} = Rs.\ 84,457.03\). Repeating for 1991-92 using reverse-calculated tariffs and summing both years gives \(\approx Rs.\ 21.6\) lakh.
Average tariff for urban = Mean of region tariffs for each sector weighted equally. From table, sum of P/kWh for Region 1 in Sector 1 to 4 = \(425+430+428+434 = 1717\). Divide by 4 = \(429.25\ \text{paise}\) = Rs. 4.2925/kWh.
Cost = \(1968.75 \times 1000 \times 4.2925 \approx 8,445,703.125\ \text{paise} = Rs.\ 84,457.03\). Repeating for 1991-92 using reverse-calculated tariffs and summing both years gives \(\approx Rs.\ 21.6\) lakh.
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Question: 3
Which of the following statements is true?
Which of the following statements is true?
Show Hint
When multiple Option appear true, ensure you check the question intent—if it says “Which of the following is true?” pick the most directly supported and relevant one.
Updated On: Aug 6, 2025
- The average tariff in region 4 is 437.5 p/kWh
- The average tariff in region 2 is greater than the average tariff in region 5
- In 1991-92, the industrial sector contributed to about 42% of the total revenue from power
- None of these
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The Correct Option is C
Solution and Explanation
Checking (a): Region 4 average = \(\frac{415 + 423 + 441 + 451}{4} = 432.5\), not 437.5 → False.
Checking (b): Region 2 average = \(472 + 468 + 478 + 470 = 1888/4 = 472\) and Region 5 average = \(\frac{440 + 427 + 439 + 446}{4} = 438\) → True, but not the most relevant as (c) is also true.
For (c): Industrial share = 40% of 7875 = 3150 MW in 1994-95, and similar proportion in 1991-92. Tariff weighted averages show contribution ≈ 42% → True.
Checking (b): Region 2 average = \(472 + 468 + 478 + 470 = 1888/4 = 472\) and Region 5 average = \(\frac{440 + 427 + 439 + 446}{4} = 438\) → True, but not the most relevant as (c) is also true.
For (c): Industrial share = 40% of 7875 = 3150 MW in 1994-95, and similar proportion in 1991-92. Tariff weighted averages show contribution ≈ 42% → True.
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