nodejs - mongodb $lte and $gte not working with $lookup - node.js

Question

I need to get record by price range but the query is working fine in shell but not in nodejs. Here is query:
db.model.aggregate([
{ $match: { make_id: make_id } },
{
$lookup: {
from: 'variants',
localField: '_id',
foreignField: 'model_id',
as: 'variant_list'
}
},
{
$unwind: {
path: '$variant_list',
preserveNullAndEmptyArrays: false
}
},
{$match: {status:1, $and:[{'variant_list.price': {$lte:Number(max_price)}}]}},
{$project: { make_id: 1, model_name: 1, variant_list: '$variant_list'}}
])
I have checked the price in database. it is stored like NumberInt(300000) and in my query i have parsed in integer type like => max_price to Number(max_price).
and it gives me all record which are less than and equal to 300000 but it also gives the record which are less than 400000.
But If i'm not using aggregate framework then it is giving me perfect result:
db.model.find({status:1, $and:[{'variant_list.price': {$lte:Number(max_price)}}]})
I dont know why $lte not working perfectly with aggregate and $lookup.
Please Help!!
Updated Sample Collection and Documents
MakeId = a123;
Models:
-----------------------------
mid | makeid | model |
-----------------------------
m1 | a123 | MDLi1 |
m2 | a123 | MDLi2 |
m3 | a123 | MDLi3 |
m4 | a123 | MDLi4 |
m5 | a123 | MDLi5 |
-----------------------------
Variants:
----------------------------------------
vid | modelid | variants | price |
----------------------------------------
v1 | m1 | VARi1 | 150000 |
v2 | m1 | VARi2 | 250000 |
v3 | m1 | VARi3 | 300000 |
v4 | m1 | VARi4 | 350000 |
v5 | m1 | VARi5 | 380000 |
v6 | m2 | VARi6 | 250000 |
v7 | m2 | VARi7 | 280000 |
v8 | m2 | VARi8 | 380000 |
v9 | m2 | VARi9 | 400000 |
v10 | m2 | VARi10 | 450000 |
----------------------------------------
I need to get model detail and variants list by variant price like price range should be between 0 to 300000
My Desire result is :
{
"data": [
{
"makeid": "a123",
"modelid": "m1",
"variant_list": [
{
"variant_id": "v1",
"variant_name": "VARi1",
"price": 150000
},
{
"variant_id": "v2",
"variant_name": "VARi2",
"price": 250000
},
{
"variant_id": "v3",
"variant_name": "VARi3",
"price": 300000
}
]
},
{
"makeid": "a123",
"modelid": "m2",
"variant_list": [
{
"variant_id": "v6",
"variant_name": "VARi6",
"price": 250000
},
{
"variant_id": "v7",
"variant_name": "VARi7",
"price": 280000
}
]
}
]
}