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a. Rs. 180

b. Rs. 200

c. Rs. 280

d. Rs. 300

**Answer:** b. Rs. 200

**Explanation:**

Tip:

Share of Income ∝ | 1 |

Number of days OR Time taken |

∴ If ratio of time taken is a : b or | a | , then share of income is b : a or | b |

b | a |

Understand this problem as,

Ram can do a work in 5 days (Mon - Fri) while Shyam finishes it in 7 days.

Ratio of days of Ram to Shyam = 5:7

So their share of income will be → Ram's Income: Shyam's income = 7:5

∴ Shyam's income = | 5 | x 480 = Rs. 200 |

5+7 |

a. Piky = 440 coins; Quiky = 385 coins; Riky = 280 coins

b. Piky = 445 coins; Quiky = 375 coins; Riky = 285 coins

c. Piky = 446 coins; Quiky = 381 coins; Riky = 278 coins

d. Piky = 500 coins; Quiky = 400 coins; Riky = 205 coins

**Answer:** a. Piky = 440 coins; Quiky = 385 coins; Riky = 280 coins

**Explanation:**

Let us consider Piky to be P, Quicky to be Q and Riky to be R.

Now, P takes 7 days; Q takes 8 days and R takes 11 days to complete the job

Ratio of days taken is P:Q:R = 7:8:11

Tip:

If ratio of time taken is a : b : c, then share of income is in ratio

bc : ac : ca

**Easy way to remember -**

Share of 'a' will only have 'bc' and not 'a'

Share of 'b' will only have 'ac' and not 'b'

Share of 'c' will only have 'ab' and not 'c'

Hence, Ratio of income share is

Income of P : Income of Q : Income of R = 8 x 11 : 7 x 11 : 7 x 8 = 88 : 77 : 56

Share of P = | 88 | x Total Amount = | 88 | x 1105 = 440 |

88+77+56 | 221 |

Share of Q = | 77 | x 1105 = 385 |

221 |

Share of R = | 56 | x 1105 = 280 |

221 |

a. 5 men

b. 6 men

c. 8 men

d. 9 men

**Answer:** b. 6 men

**Explanation:**

**Some simplifications from the question:**

i. Men's wage are 500% of women => Men's wages are 5 times that of women.

ii. Two groups of 22 women = 44 women

iii. 8 weeks = 56 days

iv. 2 days less than 7 weeks = 47 days

1 day wage of 44 women = | Rs.29568 |

56 days |

1 day wage of 1 woman = | 29568 | = Rs. 12 |

56 days x 44 women |

Using above concept,

1 day wage of 1 man = | Rs.16920 | = Rs. 60 |

47 days x Number of Men |

∴ Number of men = | 16920 | = 6 men |

47x 60 |

a. Raman = Rs. 770; Vaman = Rs. 385

b. Raman = Rs. 605; Vaman = Rs. 550

c. Raman = Rs. 550; Vaman = Rs. 605

d. Raman = Rs. 385; Vaman = Rs. 770

**Answer:** a. Raman = Rs. 770; Vaman = Rs. 385

**Explanation:**

Raman's 1 day work = | 1 |

15 |

(Raman + Vaman)'s 1 day work = | 1 | = 1 day work of Raman + 1 day work of Vaman |

10 |

∴ 1 day work of Vaman = | 1 | - | 1 | = | 1 |

10 | 15 | 30 |

Ratio of 1 day work of Raman and Vaman is given by Raman : Vaman = | 1 | : | 1 | = 2:1 |

15 | 30 |

∴ Share of Raman : Share of Vaman = 2 : 1

Share of Raman = | 2 | x Total Amount = | 2 | x 1155 = Rs. 770 |

2+1 | 3 |

Share of Vaman = | 1 | x 1155 = Rs. 385 |

3 |

a. Rs. 256

b. Rs. 340

c. Rs. 384

d. Rs. 420

**Answer:** c. Rs. 384

**Explanation:**

R finishes 3/5^{th} of the work so remaining work = 1 - | 3 | = | 2 |

5 | 5 |

R does 3/5^{th} of the work so share of R in income = | 3 | x 640 = Rs. 384 |

5 |