Aptitude Discussion

Q. |
Kartik's mother asked him to get the vegetables, milk and butter from the market and gave him the money in the denominator of 1 Rupee, 2 Rupee and 5 Rupee coins. Kartik first goes to the grocery shop to buy vegetables. At the grocery shop he gives half of his 5 Rupee coins in return receives the same number of 1 Rupee coins. Next he goes to the dairy shop to buy milk and butter and gives all 2 Rupee coins and in return get thirty 5 Rupee coins, which increase the number of five rupee coins by $75%$ more than the original number. If the number of 1 rupee coins now is 50, the number of 1 rupee and 5 rupee coins originally were: |

✖ A. |
10, 60 |

✖ B. |
10, 70 |

✖ C. |
10, 80 |

✔ D. |
None of these |

**Solution:**

Option(**D**) is correct

Table below can be scrolled horizontally

One rupee coins | 2 rupees coins | 5 rupees coins |

Initially (a) | $B$ | $C$ |

After grocery shop \(\left(a+\dfrac{c}{2}\right)\) | $B$ | $\dfrac{c}{2}$ |

After dairy shop \(\left(a+\dfrac{c}{2}\right)\) | $0$ | $\dfrac{c}{2}+30$ |

\(\dfrac{c}{2}+30=\dfrac{7c}{4}\)

\(\Rightarrow c=24\)

Number of one rupee coins are: $= a+12$

$a+12=50$

$⇒ a=38$