The maximum quantity of total dry aggregate per 50 kg bag of cement by mass depends on the mix design and the specific requirements of the concrete being produced. However, as a general guideline, in a typical concrete mix, the ratio of total dry aggregate to cement is often around 5:1 by weight.

So, for a 50 kg bag of cement, you might use around 250 kg of total dry aggregate. However, this ratio can vary depending on factors such as the desired strength, workability, and other properties of the concrete mix.

Total quantity of dry aggregate by mass per 50 kg bag of cement to be taken as sum of individual masses of fine aggregate (sand) and coarse aggregate. Assume the density of sand is about 1600 kg/m3 and aggregate is about 1500 kg/m3.

The density or unit mass of cement is about 1440 kilograms per cubic meter (kg/m3), which means one cubic meter of cement weighs about 1440 kg, so volume of 50 kg cement = 50/1440 = 0.0347 m3.

For concrete mix M20, 1 part cement (50 kg cement or 0.0347 m3 cement) is mixed with 1.5 parts sand (83 kg or 0.052 m3 sand) and 3 parts coarse aggregate (167 kg or 0.1042 m3 aggregate). So for M20 concrete mix, the total mass of dry aggregate (fine aggregate + coarse aggregate) per 50kg cement bag should be approximately 83kg + 167kg = 250kg.

For concrete mix M25, 1 part cement (50 kg cement or 0.0347 m3 cement) is mixed with 1 parts sand (56 kg or 0.0347 m3 sand) and 2 parts coarse aggregate (111 kg or 0.0694 m3 aggregate). So for M25 concrete mix, the total mass of dry aggregate (fine aggregate + coarse aggregate) per 50kg cement bag should be approximately 56kg + 111kg = 167kg.

For concrete mix M15, 1 part cement (50 kg cement or 0.0347 m3 cement) is mixed with 2 parts sand (110 kg or 0.0694 m3 sand) and 4 parts coarse aggregate (220 kg or 0.1388 m3 aggregate). So for M15 concrete mix, the total mass of dry aggregate (fine aggregate + coarse aggregate) per 50kg cement bag should be approximately 110kg + 220kg = 330kg.

For concrete mix M10, 1 part cement (50 kg cement or 0.0347 m3 cement) is mixed with 3 parts sand (167 kg or 0.1041 m3 sand) and 6 parts coarse aggregate (313 kg or 0.2082 m3 aggregate). So for M10 concrete mix, the total mass of dry aggregate (fine aggregate + coarse aggregate) per 50kg cement bag should be approximately 167kg + 313kg = 480kg.

For concrete mix M7.5, 1 part cement (50 kg cement or 0.0347 m3 cement) is mixed with 4 parts sand (223 kg or 0.1388 m3 sand) and 8 parts coarse aggregate (402 kg or 0.2776 m3 aggregate). So for M7.5 concrete mix, the total mass of dry aggregate (fine aggregate + coarse aggregate) per 50kg cement bag should be approximately 223kg + 402kg = 625kg.

For concrete mix M5, 1 part cement (50 kg cement or 0.0347 m3 cement) is mixed with 5 parts sand (278 kg or 0.1735 m3 sand) and 10 parts coarse aggregate (522 kg or 0.347 m3 aggregate). So for M5 concrete mix, the total mass of dry aggregate (fine aggregate + coarse aggregate) per 50kg cement bag should be approximately 278kg + 522kg = 800kg.

**Here’s are table for general estimate for the maximum quantity of total dry aggregate per 50 kg bag of cement by mass:-**

Grade of concrete | Total quantity of dry aggregate by mass per 50kg bag of cement (sum of individual masses of fine aggregate and coarse aggregate) |

M25 Grade | 167 kg |

M20 Grade | 250 kg |

M15 Grade | 330 kg |

M10 Grade | 480 kg |

M7.5 Grade | 625 kg |

M5 Grade | 800 kg |

**Conclusions:**

In general, the maximum quantity of total dry aggregate per 50 kg bag of cement by mass should not exceed 250 kg for M20 concrete, 167 kg for M25 concrete, 330 kg for M15, 480 kg for M10, 635 kg for M7.5, and 800 kg for M5 concrete.