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प्रश्न
Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If allowance of each is Rs. 1260 find the amount left with each.
| Where money goes | Fraction of allowance | |
| Manavi | Kuber | |
| Saving Account | `1/2` | `1/3` |
| Spend at mall | `1/4` | `3/5` |
| Left over | ? | ? |
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उत्तर १
Let total cost be ₹ 1.
For Manavi,
Left over = Total cost – All spends
= `1 - (1/2 + 1/4)`
= `1 - 3/4`
= `1/4`
∴ Amount = `1260 xx 1/4` = ₹ 315
For Kuber,
Left over = Total cost – All spends
= `1 - (1/3 + 3/5)`
= `1 - 14/15`
= `1/15`
∴ Amount = `1260 xx 1/15` = ₹ 84
उत्तर २
Allowance given to Manavi = ₹ 1260
Left over amount of Manavi = Allowance – Saving – Spend at mall
= `1260 - 1/2 xx 1260 - 1/4 xx 1260`
= `1260 (1 - 1/2 - 1/4)`
= `1260 xx ((4 - 2 - 1)/4)`
= `1260 xx ((4 - 3)/4)`
= `1260 xx 1/4`
= ₹ 315
Hence, the amount left with Manavi is ₹ 315.
Allowance given to Kuber = ₹ 1260
Left over amount of Kuber = Allowance – Saving – Spend at mall
= `1260 - 1/3 xx 1260 - 3/5 xx 1260`
= `1260 (1 - 1/3 - 3/5)`
= `1260((15 - 5 - 9)/15)`
= `1260((15 - 14)/15)`
= `1260 xx 1/15`
= ₹ 84
Hence, the amount left with Kuber is ₹ 84.
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| State | Male | `bb(p/q)` form | Lowest terms |
| Andhra Pradesh | 61.6 | ||
| Assam | 57.1 | ||
| Bihar | 60.7 | ||
| Gujarat | 61.9 | ||
| Haryana | 64.1 | ||
| Himachal Pradesh | 65.1 | ||
| Karnataka | 62.4 | ||
| Kerala | 70.6 | ||
| Madhya Pradesh | 56.5 | ||
| Maharashtra | 64.5 | ||
| Orissa | 57.6 | ||
| Punjab | 66.9 | ||
| Rajasthan | 59.8 | ||
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| Uttar Pradesh | 58.9 | ||
| West Bengal | 62.8 | ||
| India | 60.8 |
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